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Finding the Third Proportional to 88,990 and 137,745

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Solution

The third proportional to 88,990 and 137,745 is: 213,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,990 : 137,745 = 137,745 : x
  2. Step 2: Convert to fraction form
    88,990/137,745 = 137,745/x
  3. Step 3: Cross multiply
    88,990x = 137,745 × 137,745
  4. Step 4: Simplify right side
    88,990x = 18,973,685,025
  5. Step 5: Solve for x
    x = 18,973,685,025/88,990
  6. Step 6: Final answer
    x = 213,211.43

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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.