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Finding the Third Proportional to 89,988 and 139,698

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Solution

The third proportional to 89,988 and 139,698 is: 216,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,988 : 139,698 = 139,698 : x
  2. Step 2: Convert to fraction form
    89,988/139,698 = 139,698/x
  3. Step 3: Cross multiply
    89,988x = 139,698 × 139,698
  4. Step 4: Simplify right side
    89,988x = 19,515,531,204
  5. Step 5: Solve for x
    x = 19,515,531,204/89,988
  6. Step 6: Final answer
    x = 216,868.15

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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.