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Finding the Third Proportional to 70,149.38 and 104,938.88

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Solution

The third proportional to 70,149.38 and 104,938.88 is: 156,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,149.38 : 104,938.88 = 104,938.88 : x
  2. Step 2: Convert to fraction form
    70,149.38/104,938.88 = 104,938.88/x
  3. Step 3: Cross multiply
    70,149.38x = 104,938.88 × 104,938.88
  4. Step 4: Simplify right side
    70,149.38x = 11,012,167,486.27
  5. Step 5: Solve for x
    x = 11,012,167,486.27/70,149.38
  6. Step 6: Final answer
    x = 156,981.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.