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Finding the Third Proportional to 103,301.58 and 146,221.45

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Solution

The third proportional to 103,301.58 and 146,221.45 is: 206,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,301.58 : 146,221.45 = 146,221.45 : x
  2. Step 2: Convert to fraction form
    103,301.58/146,221.45 = 146,221.45/x
  3. Step 3: Cross multiply
    103,301.58x = 146,221.45 × 146,221.45
  4. Step 4: Simplify right side
    103,301.58x = 21,380,713,353.99
  5. Step 5: Solve for x
    x = 21,380,713,353.99/103,301.58
  6. Step 6: Final answer
    x = 206,973.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.