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Finding the Third Proportional to 98,203 and 156,902.75

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Solution

The third proportional to 98,203 and 156,902.75 is: 250,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,203 : 156,902.75 = 156,902.75 : x
  2. Step 2: Convert to fraction form
    98,203/156,902.75 = 156,902.75/x
  3. Step 3: Cross multiply
    98,203x = 156,902.75 × 156,902.75
  4. Step 4: Simplify right side
    98,203x = 24,618,472,957.56
  5. Step 5: Solve for x
    x = 24,618,472,957.56/98,203
  6. Step 6: Final answer
    x = 250,689.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.