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Finding the Third Proportional to 86,589 and 129,537

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Solution

The third proportional to 86,589 and 129,537 is: 193,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,589 : 129,537 = 129,537 : x
  2. Step 2: Convert to fraction form
    86,589/129,537 = 129,537/x
  3. Step 3: Cross multiply
    86,589x = 129,537 × 129,537
  4. Step 4: Simplify right side
    86,589x = 16,779,834,369
  5. Step 5: Solve for x
    x = 16,779,834,369/86,589
  6. Step 6: Final answer
    x = 193,787.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.