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Finding the Third Proportional to 98,513 and 156,017

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Solution

The third proportional to 98,513 and 156,017 is: 247,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,513 : 156,017 = 156,017 : x
  2. Step 2: Convert to fraction form
    98,513/156,017 = 156,017/x
  3. Step 3: Cross multiply
    98,513x = 156,017 × 156,017
  4. Step 4: Simplify right side
    98,513x = 24,341,304,289
  5. Step 5: Solve for x
    x = 24,341,304,289/98,513
  6. Step 6: Final answer
    x = 247,087.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.