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Finding the Third Proportional to 119,496 and 162,387

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Solution

The third proportional to 119,496 and 162,387 is: 220,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,496 : 162,387 = 162,387 : x
  2. Step 2: Convert to fraction form
    119,496/162,387 = 162,387/x
  3. Step 3: Cross multiply
    119,496x = 162,387 × 162,387
  4. Step 4: Simplify right side
    119,496x = 26,369,537,769
  5. Step 5: Solve for x
    x = 26,369,537,769/119,496
  6. Step 6: Final answer
    x = 220,672.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.