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Finding the Third Proportional to 59,118 and 89,290

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Solution

The third proportional to 59,118 and 89,290 is: 134,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,118 : 89,290 = 89,290 : x
  2. Step 2: Convert to fraction form
    59,118/89,290 = 89,290/x
  3. Step 3: Cross multiply
    59,118x = 89,290 × 89,290
  4. Step 4: Simplify right side
    59,118x = 7,972,704,100
  5. Step 5: Solve for x
    x = 7,972,704,100/59,118
  6. Step 6: Final answer
    x = 134,860.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.