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Finding the Third Proportional to 70,116.23 and 108,775.48

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Solution

The third proportional to 70,116.23 and 108,775.48 is: 168,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,116.23 : 108,775.48 = 108,775.48 : x
  2. Step 2: Convert to fraction form
    70,116.23/108,775.48 = 108,775.48/x
  3. Step 3: Cross multiply
    70,116.23x = 108,775.48 × 108,775.48
  4. Step 4: Simplify right side
    70,116.23x = 11,832,104,301.40
  5. Step 5: Solve for x
    x = 11,832,104,301.40/70,116.23
  6. Step 6: Final answer
    x = 168,749.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.