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Finding the Third Proportional to 59,074.75 and 89,704.50

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Solution

The third proportional to 59,074.75 and 89,704.50 is: 136,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,074.75 : 89,704.50 = 89,704.50 : x
  2. Step 2: Convert to fraction form
    59,074.75/89,704.50 = 89,704.50/x
  3. Step 3: Cross multiply
    59,074.75x = 89,704.50 × 89,704.50
  4. Step 4: Simplify right side
    59,074.75x = 8,046,897,320.25
  5. Step 5: Solve for x
    x = 8,046,897,320.25/59,074.75
  6. Step 6: Final answer
    x = 136,215.51

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.