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Finding the Third Proportional to 98,714 and 158,972

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Solution

The third proportional to 98,714 and 158,972 is: 256,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714 : 158,972 = 158,972 : x
  2. Step 2: Convert to fraction form
    98,714/158,972 = 158,972/x
  3. Step 3: Cross multiply
    98,714x = 158,972 × 158,972
  4. Step 4: Simplify right side
    98,714x = 25,272,096,784
  5. Step 5: Solve for x
    x = 25,272,096,784/98,714
  6. Step 6: Final answer
    x = 256,013.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.