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Finding the Third Proportional to 59,085 and 88,671.38

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Solution

The third proportional to 59,085 and 88,671.38 is: 133,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,085 : 88,671.38 = 88,671.38 : x
  2. Step 2: Convert to fraction form
    59,085/88,671.38 = 88,671.38/x
  3. Step 3: Cross multiply
    59,085x = 88,671.38 × 88,671.38
  4. Step 4: Simplify right side
    59,085x = 7,862,612,744.39
  5. Step 5: Solve for x
    x = 7,862,612,744.39/59,085
  6. Step 6: Final answer
    x = 133,072.91

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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.