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Finding the Third Proportional to 98,708 and 156,990

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Solution

The third proportional to 98,708 and 156,990 is: 249,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,708 : 156,990 = 156,990 : x
  2. Step 2: Convert to fraction form
    98,708/156,990 = 156,990/x
  3. Step 3: Cross multiply
    98,708x = 156,990 × 156,990
  4. Step 4: Simplify right side
    98,708x = 24,645,860,100
  5. Step 5: Solve for x
    x = 24,645,860,100/98,708
  6. Step 6: Final answer
    x = 249,684.53

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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.