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Finding the Third Proportional to 103,714 and 154,909

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Solution

The third proportional to 103,714 and 154,909 is: 231,374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,714 : 154,909 = 154,909 : x
  2. Step 2: Convert to fraction form
    103,714/154,909 = 154,909/x
  3. Step 3: Cross multiply
    103,714x = 154,909 × 154,909
  4. Step 4: Simplify right side
    103,714x = 23,996,798,281
  5. Step 5: Solve for x
    x = 23,996,798,281/103,714
  6. Step 6: Final answer
    x = 231,374.73

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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.