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Finding the Third Proportional to 83,616 and 129,526

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Solution

The third proportional to 83,616 and 129,526 is: 200,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,616 : 129,526 = 129,526 : x
  2. Step 2: Convert to fraction form
    83,616/129,526 = 129,526/x
  3. Step 3: Cross multiply
    83,616x = 129,526 × 129,526
  4. Step 4: Simplify right side
    83,616x = 16,776,984,676
  5. Step 5: Solve for x
    x = 16,776,984,676/83,616
  6. Step 6: Final answer
    x = 200,643.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.