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Finding the Third Proportional to 95,774.63 and 140,882.63

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Solution

The third proportional to 95,774.63 and 140,882.63 is: 207,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,774.63 : 140,882.63 = 140,882.63 : x
  2. Step 2: Convert to fraction form
    95,774.63/140,882.63 = 140,882.63/x
  3. Step 3: Cross multiply
    95,774.63x = 140,882.63 × 140,882.63
  4. Step 4: Simplify right side
    95,774.63x = 19,847,914,026.89
  5. Step 5: Solve for x
    x = 19,847,914,026.89/95,774.63
  6. Step 6: Final answer
    x = 207,235.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.