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Finding the Third Proportional to 68,819.13 and 100,572.75

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Solution

The third proportional to 68,819.13 and 100,572.75 is: 146,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,819.13 : 100,572.75 = 100,572.75 : x
  2. Step 2: Convert to fraction form
    68,819.13/100,572.75 = 100,572.75/x
  3. Step 3: Cross multiply
    68,819.13x = 100,572.75 × 100,572.75
  4. Step 4: Simplify right side
    68,819.13x = 10,114,878,042.56
  5. Step 5: Solve for x
    x = 10,114,878,042.56/68,819.13
  6. Step 6: Final answer
    x = 146,977.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.