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Finding the Third Proportional to 56,258 and 84,741

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Solution

The third proportional to 56,258 and 84,741 is: 127,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,258 : 84,741 = 84,741 : x
  2. Step 2: Convert to fraction form
    56,258/84,741 = 84,741/x
  3. Step 3: Cross multiply
    56,258x = 84,741 × 84,741
  4. Step 4: Simplify right side
    56,258x = 7,181,037,081
  5. Step 5: Solve for x
    x = 7,181,037,081/56,258
  6. Step 6: Final answer
    x = 127,644.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.