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Finding the Third Proportional to 58,800 and 129,264

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Solution

The third proportional to 58,800 and 129,264 is: 284,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,800 : 129,264 = 129,264 : x
  2. Step 2: Convert to fraction form
    58,800/129,264 = 129,264/x
  3. Step 3: Cross multiply
    58,800x = 129,264 × 129,264
  4. Step 4: Simplify right side
    58,800x = 16,709,181,696
  5. Step 5: Solve for x
    x = 16,709,181,696/58,800
  6. Step 6: Final answer
    x = 284,169.76

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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.