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Finding the Third Proportional to 129,687 and 194,532

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Solution

The third proportional to 129,687 and 194,532 is: 291,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,687 : 194,532 = 194,532 : x
  2. Step 2: Convert to fraction form
    129,687/194,532 = 194,532/x
  3. Step 3: Cross multiply
    129,687x = 194,532 × 194,532
  4. Step 4: Simplify right side
    129,687x = 37,842,699,024
  5. Step 5: Solve for x
    x = 37,842,699,024/129,687
  6. Step 6: Final answer
    x = 291,800.25

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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.