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Finding the Third Proportional to 125,656 and 271,088

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Solution

The third proportional to 125,656 and 271,088 is: 584,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,656 : 271,088 = 271,088 : x
  2. Step 2: Convert to fraction form
    125,656/271,088 = 271,088/x
  3. Step 3: Cross multiply
    125,656x = 271,088 × 271,088
  4. Step 4: Simplify right side
    125,656x = 73,488,703,744
  5. Step 5: Solve for x
    x = 73,488,703,744/125,656
  6. Step 6: Final answer
    x = 584,840.39

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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.