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Finding the Third Proportional to 127,396 and 269,960

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Solution

The third proportional to 127,396 and 269,960 is: 572,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,396 : 269,960 = 269,960 : x
  2. Step 2: Convert to fraction form
    127,396/269,960 = 269,960/x
  3. Step 3: Cross multiply
    127,396x = 269,960 × 269,960
  4. Step 4: Simplify right side
    127,396x = 72,878,401,600
  5. Step 5: Solve for x
    x = 72,878,401,600/127,396
  6. Step 6: Final answer
    x = 572,061.93

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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.