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Finding the Third Proportional to 88,906 and 137,571

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Solution

The third proportional to 88,906 and 137,571 is: 212,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,906 : 137,571 = 137,571 : x
  2. Step 2: Convert to fraction form
    88,906/137,571 = 137,571/x
  3. Step 3: Cross multiply
    88,906x = 137,571 × 137,571
  4. Step 4: Simplify right side
    88,906x = 18,925,780,041
  5. Step 5: Solve for x
    x = 18,925,780,041/88,906
  6. Step 6: Final answer
    x = 212,874.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.