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Finding the Third Proportional to 125,307 and 271,389

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Solution

The third proportional to 125,307 and 271,389 is: 587,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,307 : 271,389 = 271,389 : x
  2. Step 2: Convert to fraction form
    125,307/271,389 = 271,389/x
  3. Step 3: Cross multiply
    125,307x = 271,389 × 271,389
  4. Step 4: Simplify right side
    125,307x = 73,651,989,321
  5. Step 5: Solve for x
    x = 73,651,989,321/125,307
  6. Step 6: Final answer
    x = 587,772.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.