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Finding the Third Proportional to 88,914 and 137,631

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Solution

The third proportional to 88,914 and 137,631 is: 213,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,914 : 137,631 = 137,631 : x
  2. Step 2: Convert to fraction form
    88,914/137,631 = 137,631/x
  3. Step 3: Cross multiply
    88,914x = 137,631 × 137,631
  4. Step 4: Simplify right side
    88,914x = 18,942,292,161
  5. Step 5: Solve for x
    x = 18,942,292,161/88,914
  6. Step 6: Final answer
    x = 213,040.60

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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.