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Finding the Third Proportional to 125,561 and 271,039

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Solution

The third proportional to 125,561 and 271,039 is: 585,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,561 : 271,039 = 271,039 : x
  2. Step 2: Convert to fraction form
    125,561/271,039 = 271,039/x
  3. Step 3: Cross multiply
    125,561x = 271,039 × 271,039
  4. Step 4: Simplify right side
    125,561x = 73,462,139,521
  5. Step 5: Solve for x
    x = 73,462,139,521/125,561
  6. Step 6: Final answer
    x = 585,071.32

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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.