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Finding the Third Proportional to 59,115 and 89,286

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Solution

The third proportional to 59,115 and 89,286 is: 134,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,115 : 89,286 = 89,286 : x
  2. Step 2: Convert to fraction form
    59,115/89,286 = 89,286/x
  3. Step 3: Cross multiply
    59,115x = 89,286 × 89,286
  4. Step 4: Simplify right side
    59,115x = 7,971,989,796
  5. Step 5: Solve for x
    x = 7,971,989,796/59,115
  6. Step 6: Final answer
    x = 134,855.62

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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.