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Finding the Third Proportional to 98,782 and 156,921

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Solution

The third proportional to 98,782 and 156,921 is: 249,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,782 : 156,921 = 156,921 : x
  2. Step 2: Convert to fraction form
    98,782/156,921 = 156,921/x
  3. Step 3: Cross multiply
    98,782x = 156,921 × 156,921
  4. Step 4: Simplify right side
    98,782x = 24,624,200,241
  5. Step 5: Solve for x
    x = 24,624,200,241/98,782
  6. Step 6: Final answer
    x = 249,278.21

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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.