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Finding the Third Proportional to 58,791 and 129,246

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Solution

The third proportional to 58,791 and 129,246 is: 284,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,791 : 129,246 = 129,246 : x
  2. Step 2: Convert to fraction form
    58,791/129,246 = 129,246/x
  3. Step 3: Cross multiply
    58,791x = 129,246 × 129,246
  4. Step 4: Simplify right side
    58,791x = 16,704,528,516
  5. Step 5: Solve for x
    x = 16,704,528,516/58,791
  6. Step 6: Final answer
    x = 284,134.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.