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Finding the Third Proportional to 127,394 and 269,974

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Solution

The third proportional to 127,394 and 269,974 is: 572,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,394 : 269,974 = 269,974 : x
  2. Step 2: Convert to fraction form
    127,394/269,974 = 269,974/x
  3. Step 3: Cross multiply
    127,394x = 269,974 × 269,974
  4. Step 4: Simplify right side
    127,394x = 72,885,960,676
  5. Step 5: Solve for x
    x = 72,885,960,676/127,394
  6. Step 6: Final answer
    x = 572,130.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.