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Finding the Third Proportional to 102,667.50 and 137,332.13

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Solution

The third proportional to 102,667.50 and 137,332.13 is: 183,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,667.50 : 137,332.13 = 137,332.13 : x
  2. Step 2: Convert to fraction form
    102,667.50/137,332.13 = 137,332.13/x
  3. Step 3: Cross multiply
    102,667.50x = 137,332.13 × 137,332.13
  4. Step 4: Simplify right side
    102,667.50x = 18,860,112,557.02
  5. Step 5: Solve for x
    x = 18,860,112,557.02/102,667.50
  6. Step 6: Final answer
    x = 183,700.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.