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Finding the Third Proportional to 125,510 and 276,292

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Solution

The third proportional to 125,510 and 276,292 is: 608,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,510 : 276,292 = 276,292 : x
  2. Step 2: Convert to fraction form
    125,510/276,292 = 276,292/x
  3. Step 3: Cross multiply
    125,510x = 276,292 × 276,292
  4. Step 4: Simplify right side
    125,510x = 76,337,269,264
  5. Step 5: Solve for x
    x = 76,337,269,264/125,510
  6. Step 6: Final answer
    x = 608,216.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.