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Finding the Third Proportional to 57,386.25 and 124,936.88

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Solution

The third proportional to 57,386.25 and 124,936.88 is: 272,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,386.25 : 124,936.88 = 124,936.88 : x
  2. Step 2: Convert to fraction form
    57,386.25/124,936.88 = 124,936.88/x
  3. Step 3: Cross multiply
    57,386.25x = 124,936.88 × 124,936.88
  4. Step 4: Simplify right side
    57,386.25x = 15,609,222,734.77
  5. Step 5: Solve for x
    x = 15,609,222,734.77/57,386.25
  6. Step 6: Final answer
    x = 272,002.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.