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Finding the Third Proportional to 56,409 and 125,424

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Solution

The third proportional to 56,409 and 125,424 is: 278,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,409 : 125,424 = 125,424 : x
  2. Step 2: Convert to fraction form
    56,409/125,424 = 125,424/x
  3. Step 3: Cross multiply
    56,409x = 125,424 × 125,424
  4. Step 4: Simplify right side
    56,409x = 15,731,179,776
  5. Step 5: Solve for x
    x = 15,731,179,776/56,409
  6. Step 6: Final answer
    x = 278,877.13

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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.