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Finding the Third Proportional to 129,057 and 195,528

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Solution

The third proportional to 129,057 and 195,528 is: 296,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,057 : 195,528 = 195,528 : x
  2. Step 2: Convert to fraction form
    129,057/195,528 = 195,528/x
  3. Step 3: Cross multiply
    129,057x = 195,528 × 195,528
  4. Step 4: Simplify right side
    129,057x = 38,231,198,784
  5. Step 5: Solve for x
    x = 38,231,198,784/129,057
  6. Step 6: Final answer
    x = 296,234.99

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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.