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Finding the Third Proportional to 88,895 and 137,555

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Solution

The third proportional to 88,895 and 137,555 is: 212,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,895 : 137,555 = 137,555 : x
  2. Step 2: Convert to fraction form
    88,895/137,555 = 137,555/x
  3. Step 3: Cross multiply
    88,895x = 137,555 × 137,555
  4. Step 4: Simplify right side
    88,895x = 18,921,378,025
  5. Step 5: Solve for x
    x = 18,921,378,025/88,895
  6. Step 6: Final answer
    x = 212,850.87

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Why These Related Problems?

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