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Finding the Third Proportional to 129,470 and 174,924

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Solution

The third proportional to 129,470 and 174,924 is: 236,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,470 : 174,924 = 174,924 : x
  2. Step 2: Convert to fraction form
    129,470/174,924 = 174,924/x
  3. Step 3: Cross multiply
    129,470x = 174,924 × 174,924
  4. Step 4: Simplify right side
    129,470x = 30,598,405,776
  5. Step 5: Solve for x
    x = 30,598,405,776/129,470
  6. Step 6: Final answer
    x = 236,335.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.