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Finding the Third Proportional to 98,084 and 152,151

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Solution

The third proportional to 98,084 and 152,151 is: 236,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,084 : 152,151 = 152,151 : x
  2. Step 2: Convert to fraction form
    98,084/152,151 = 152,151/x
  3. Step 3: Cross multiply
    98,084x = 152,151 × 152,151
  4. Step 4: Simplify right side
    98,084x = 23,149,926,801
  5. Step 5: Solve for x
    x = 23,149,926,801/98,084
  6. Step 6: Final answer
    x = 236,021.44

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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.