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Finding the Third Proportional to 75,423.50 and 111,831

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Solution

The third proportional to 75,423.50 and 111,831 is: 165,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,423.50 : 111,831 = 111,831 : x
  2. Step 2: Convert to fraction form
    75,423.50/111,831 = 111,831/x
  3. Step 3: Cross multiply
    75,423.50x = 111,831 × 111,831
  4. Step 4: Simplify right side
    75,423.50x = 12,506,172,561
  5. Step 5: Solve for x
    x = 12,506,172,561/75,423.50
  6. Step 6: Final answer
    x = 165,812.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.