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Finding the Third Proportional to 98,407 and 156,661

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Solution

The third proportional to 98,407 and 156,661 is: 249,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,407 : 156,661 = 156,661 : x
  2. Step 2: Convert to fraction form
    98,407/156,661 = 156,661/x
  3. Step 3: Cross multiply
    98,407x = 156,661 × 156,661
  4. Step 4: Simplify right side
    98,407x = 24,542,668,921
  5. Step 5: Solve for x
    x = 24,542,668,921/98,407
  6. Step 6: Final answer
    x = 249,399.63

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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.