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Finding the Third Proportional to 127,957 and 275,355

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Solution

The third proportional to 127,957 and 275,355 is: 592,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,957 : 275,355 = 275,355 : x
  2. Step 2: Convert to fraction form
    127,957/275,355 = 275,355/x
  3. Step 3: Cross multiply
    127,957x = 275,355 × 275,355
  4. Step 4: Simplify right side
    127,957x = 75,820,376,025
  5. Step 5: Solve for x
    x = 75,820,376,025/127,957
  6. Step 6: Final answer
    x = 592,545.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.