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Finding the Third Proportional to 56,977.88 and 124,691.63

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Solution

The third proportional to 56,977.88 and 124,691.63 is: 272,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,977.88 : 124,691.63 = 124,691.63 : x
  2. Step 2: Convert to fraction form
    56,977.88/124,691.63 = 124,691.63/x
  3. Step 3: Cross multiply
    56,977.88x = 124,691.63 × 124,691.63
  4. Step 4: Simplify right side
    56,977.88x = 15,548,001,345.14
  5. Step 5: Solve for x
    x = 15,548,001,345.14/56,977.88
  6. Step 6: Final answer
    x = 272,877.87

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