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Finding the Third Proportional to 98,774 and 156,909

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Solution

The third proportional to 98,774 and 156,909 is: 249,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,774 : 156,909 = 156,909 : x
  2. Step 2: Convert to fraction form
    98,774/156,909 = 156,909/x
  3. Step 3: Cross multiply
    98,774x = 156,909 × 156,909
  4. Step 4: Simplify right side
    98,774x = 24,620,434,281
  5. Step 5: Solve for x
    x = 24,620,434,281/98,774
  6. Step 6: Final answer
    x = 249,260.27

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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.