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Finding the Third Proportional to 98,793 and 156,937.50

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Solution

The third proportional to 98,793 and 156,937.50 is: 249,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,793 : 156,937.50 = 156,937.50 : x
  2. Step 2: Convert to fraction form
    98,793/156,937.50 = 156,937.50/x
  3. Step 3: Cross multiply
    98,793x = 156,937.50 × 156,937.50
  4. Step 4: Simplify right side
    98,793x = 24,629,378,906.25
  5. Step 5: Solve for x
    x = 24,629,378,906.25/98,793
  6. Step 6: Final answer
    x = 249,302.87

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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.