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Finding the Third Proportional to 83,759 and 129,527

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Solution

The third proportional to 83,759 and 129,527 is: 200,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,759 : 129,527 = 129,527 : x
  2. Step 2: Convert to fraction form
    83,759/129,527 = 129,527/x
  3. Step 3: Cross multiply
    83,759x = 129,527 × 129,527
  4. Step 4: Simplify right side
    83,759x = 16,777,243,729
  5. Step 5: Solve for x
    x = 16,777,243,729/83,759
  6. Step 6: Final answer
    x = 200,303.77

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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.