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Finding the Third Proportional to 125,564 and 271,048

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Solution

The third proportional to 125,564 and 271,048 is: 585,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,564 : 271,048 = 271,048 : x
  2. Step 2: Convert to fraction form
    125,564/271,048 = 271,048/x
  3. Step 3: Cross multiply
    125,564x = 271,048 × 271,048
  4. Step 4: Simplify right side
    125,564x = 73,467,018,304
  5. Step 5: Solve for x
    x = 73,467,018,304/125,564
  6. Step 6: Final answer
    x = 585,096.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.