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Finding the Third Proportional to 129,061 and 195,533

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Solution

The third proportional to 129,061 and 195,533 is: 296,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,061 : 195,533 = 195,533 : x
  2. Step 2: Convert to fraction form
    129,061/195,533 = 195,533/x
  3. Step 3: Cross multiply
    129,061x = 195,533 × 195,533
  4. Step 4: Simplify right side
    129,061x = 38,233,154,089
  5. Step 5: Solve for x
    x = 38,233,154,089/129,061
  6. Step 6: Final answer
    x = 296,240.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.