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Finding the Third Proportional to 58,524 and 129,702

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Solution

The third proportional to 58,524 and 129,702 is: 287,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,524 : 129,702 = 129,702 : x
  2. Step 2: Convert to fraction form
    58,524/129,702 = 129,702/x
  3. Step 3: Cross multiply
    58,524x = 129,702 × 129,702
  4. Step 4: Simplify right side
    58,524x = 16,822,608,804
  5. Step 5: Solve for x
    x = 16,822,608,804/58,524
  6. Step 6: Final answer
    x = 287,448.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.