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Finding the Third Proportional to 59,085 and 88,670

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Solution

The third proportional to 59,085 and 88,670 is: 133,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,085 : 88,670 = 88,670 : x
  2. Step 2: Convert to fraction form
    59,085/88,670 = 88,670/x
  3. Step 3: Cross multiply
    59,085x = 88,670 × 88,670
  4. Step 4: Simplify right side
    59,085x = 7,862,368,900
  5. Step 5: Solve for x
    x = 7,862,368,900/59,085
  6. Step 6: Final answer
    x = 133,068.78

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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.