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Finding the Third Proportional to 59,052 and 91,314

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Solution

The third proportional to 59,052 and 91,314 is: 141,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,052 : 91,314 = 91,314 : x
  2. Step 2: Convert to fraction form
    59,052/91,314 = 91,314/x
  3. Step 3: Cross multiply
    59,052x = 91,314 × 91,314
  4. Step 4: Simplify right side
    59,052x = 8,338,246,596
  5. Step 5: Solve for x
    x = 8,338,246,596/59,052
  6. Step 6: Final answer
    x = 141,201.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.