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Finding the Third Proportional to 88,813 and 135,042

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Solution

The third proportional to 88,813 and 135,042 is: 205,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,813 : 135,042 = 135,042 : x
  2. Step 2: Convert to fraction form
    88,813/135,042 = 135,042/x
  3. Step 3: Cross multiply
    88,813x = 135,042 × 135,042
  4. Step 4: Simplify right side
    88,813x = 18,236,341,764
  5. Step 5: Solve for x
    x = 18,236,341,764/88,813
  6. Step 6: Final answer
    x = 205,334.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.