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Finding the Third Proportional to 125,565 and 271,047

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Solution

The third proportional to 125,565 and 271,047 is: 585,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,565 : 271,047 = 271,047 : x
  2. Step 2: Convert to fraction form
    125,565/271,047 = 271,047/x
  3. Step 3: Cross multiply
    125,565x = 271,047 × 271,047
  4. Step 4: Simplify right side
    125,565x = 73,466,476,209
  5. Step 5: Solve for x
    x = 73,466,476,209/125,565
  6. Step 6: Final answer
    x = 585,087.22

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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.