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Finding the Third Proportional to 97,988 and 155,734

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Solution

The third proportional to 97,988 and 155,734 is: 247,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,988 : 155,734 = 155,734 : x
  2. Step 2: Convert to fraction form
    97,988/155,734 = 155,734/x
  3. Step 3: Cross multiply
    97,988x = 155,734 × 155,734
  4. Step 4: Simplify right side
    97,988x = 24,253,078,756
  5. Step 5: Solve for x
    x = 24,253,078,756/97,988
  6. Step 6: Final answer
    x = 247,510.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.