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Finding the Third Proportional to 75,703.50 and 136,606.50

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Solution

The third proportional to 75,703.50 and 136,606.50 is: 246,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,703.50 : 136,606.50 = 136,606.50 : x
  2. Step 2: Convert to fraction form
    75,703.50/136,606.50 = 136,606.50/x
  3. Step 3: Cross multiply
    75,703.50x = 136,606.50 × 136,606.50
  4. Step 4: Simplify right side
    75,703.50x = 18,661,335,842.25
  5. Step 5: Solve for x
    x = 18,661,335,842.25/75,703.50
  6. Step 6: Final answer
    x = 246,505.59

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.