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Finding the Third Proportional to 55,930 and 124,292

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Solution

The third proportional to 55,930 and 124,292 is: 276,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,930 : 124,292 = 124,292 : x
  2. Step 2: Convert to fraction form
    55,930/124,292 = 124,292/x
  3. Step 3: Cross multiply
    55,930x = 124,292 × 124,292
  4. Step 4: Simplify right side
    55,930x = 15,448,501,264
  5. Step 5: Solve for x
    x = 15,448,501,264/55,930
  6. Step 6: Final answer
    x = 276,211.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.