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Finding the Third Proportional to 56,181 and 122,761.75

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Solution

The third proportional to 56,181 and 122,761.75 is: 268,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,181 : 122,761.75 = 122,761.75 : x
  2. Step 2: Convert to fraction form
    56,181/122,761.75 = 122,761.75/x
  3. Step 3: Cross multiply
    56,181x = 122,761.75 × 122,761.75
  4. Step 4: Simplify right side
    56,181x = 15,070,447,263.06
  5. Step 5: Solve for x
    x = 15,070,447,263.06/56,181
  6. Step 6: Final answer
    x = 268,248.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.