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Finding the Third Proportional to 125,409 and 271,272

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Solution

The third proportional to 125,409 and 271,272 is: 586,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,409 : 271,272 = 271,272 : x
  2. Step 2: Convert to fraction form
    125,409/271,272 = 271,272/x
  3. Step 3: Cross multiply
    125,409x = 271,272 × 271,272
  4. Step 4: Simplify right side
    125,409x = 73,588,497,984
  5. Step 5: Solve for x
    x = 73,588,497,984/125,409
  6. Step 6: Final answer
    x = 586,788.01

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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.