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Finding the Third Proportional to 69,233.13 and 103,734.13

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Solution

The third proportional to 69,233.13 and 103,734.13 is: 155,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,233.13 : 103,734.13 = 103,734.13 : x
  2. Step 2: Convert to fraction form
    69,233.13/103,734.13 = 103,734.13/x
  3. Step 3: Cross multiply
    69,233.13x = 103,734.13 × 103,734.13
  4. Step 4: Simplify right side
    69,233.13x = 10,760,768,689.52
  5. Step 5: Solve for x
    x = 10,760,768,689.52/69,233.13
  6. Step 6: Final answer
    x = 155,428.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.