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Finding the Third Proportional to 98,498 and 148,920

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Solution

The third proportional to 98,498 and 148,920 is: 225,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,498 : 148,920 = 148,920 : x
  2. Step 2: Convert to fraction form
    98,498/148,920 = 148,920/x
  3. Step 3: Cross multiply
    98,498x = 148,920 × 148,920
  4. Step 4: Simplify right side
    98,498x = 22,177,166,400
  5. Step 5: Solve for x
    x = 22,177,166,400/98,498
  6. Step 6: Final answer
    x = 225,153.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.