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Finding the Third Proportional to 56,132.58 and 83,977.17

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Solution

The third proportional to 56,132.58 and 83,977.17 is: 125,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,132.58 : 83,977.17 = 83,977.17 : x
  2. Step 2: Convert to fraction form
    56,132.58/83,977.17 = 83,977.17/x
  3. Step 3: Cross multiply
    56,132.58x = 83,977.17 × 83,977.17
  4. Step 4: Simplify right side
    56,132.58x = 7,052,165,396.12
  5. Step 5: Solve for x
    x = 7,052,165,396.12/56,132.58
  6. Step 6: Final answer
    x = 125,634.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.