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Finding the Third Proportional to 119,569 and 178,714

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Solution

The third proportional to 119,569 and 178,714 is: 267,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,569 : 178,714 = 178,714 : x
  2. Step 2: Convert to fraction form
    119,569/178,714 = 178,714/x
  3. Step 3: Cross multiply
    119,569x = 178,714 × 178,714
  4. Step 4: Simplify right side
    119,569x = 31,938,693,796
  5. Step 5: Solve for x
    x = 31,938,693,796/119,569
  6. Step 6: Final answer
    x = 267,115.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.