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Finding the Third Proportional to 127,629 and 271,397.25

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Solution

The third proportional to 127,629 and 271,397.25 is: 577,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,629 : 271,397.25 = 271,397.25 : x
  2. Step 2: Convert to fraction form
    127,629/271,397.25 = 271,397.25/x
  3. Step 3: Cross multiply
    127,629x = 271,397.25 × 271,397.25
  4. Step 4: Simplify right side
    127,629x = 73,656,467,307.56
  5. Step 5: Solve for x
    x = 73,656,467,307.56/127,629
  6. Step 6: Final answer
    x = 577,113.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.