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Finding the Third Proportional to 88,957.13 and 137,593.13

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Solution

The third proportional to 88,957.13 and 137,593.13 is: 212,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,957.13 : 137,593.13 = 137,593.13 : x
  2. Step 2: Convert to fraction form
    88,957.13/137,593.13 = 137,593.13/x
  3. Step 3: Cross multiply
    88,957.13x = 137,593.13 × 137,593.13
  4. Step 4: Simplify right side
    88,957.13x = 18,931,868,047.27
  5. Step 5: Solve for x
    x = 18,931,868,047.27/88,957.13
  6. Step 6: Final answer
    x = 212,820.14

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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.