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Finding the Third Proportional to 113,929 and 166,478

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Solution

The third proportional to 113,929 and 166,478 is: 243,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,929 : 166,478 = 166,478 : x
  2. Step 2: Convert to fraction form
    113,929/166,478 = 166,478/x
  3. Step 3: Cross multiply
    113,929x = 166,478 × 166,478
  4. Step 4: Simplify right side
    113,929x = 27,714,924,484
  5. Step 5: Solve for x
    x = 27,714,924,484/113,929
  6. Step 6: Final answer
    x = 243,264.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.