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Finding the Third Proportional to 98,785 and 156,926

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Solution

The third proportional to 98,785 and 156,926 is: 249,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,785 : 156,926 = 156,926 : x
  2. Step 2: Convert to fraction form
    98,785/156,926 = 156,926/x
  3. Step 3: Cross multiply
    98,785x = 156,926 × 156,926
  4. Step 4: Simplify right side
    98,785x = 24,625,769,476
  5. Step 5: Solve for x
    x = 24,625,769,476/98,785
  6. Step 6: Final answer
    x = 249,286.53

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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.