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Finding the Third Proportional to 58,972 and 129,526

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Solution

The third proportional to 58,972 and 129,526 is: 284,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,972 : 129,526 = 129,526 : x
  2. Step 2: Convert to fraction form
    58,972/129,526 = 129,526/x
  3. Step 3: Cross multiply
    58,972x = 129,526 × 129,526
  4. Step 4: Simplify right side
    58,972x = 16,776,984,676
  5. Step 5: Solve for x
    x = 16,776,984,676/58,972
  6. Step 6: Final answer
    x = 284,490.69

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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.