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Finding the Third Proportional to 75,498.75 and 111,034.13

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Solution

The third proportional to 75,498.75 and 111,034.13 is: 163,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,498.75 : 111,034.13 = 111,034.13 : x
  2. Step 2: Convert to fraction form
    75,498.75/111,034.13 = 111,034.13/x
  3. Step 3: Cross multiply
    75,498.75x = 111,034.13 × 111,034.13
  4. Step 4: Simplify right side
    75,498.75x = 12,328,576,914.52
  5. Step 5: Solve for x
    x = 12,328,576,914.52/75,498.75
  6. Step 6: Final answer
    x = 163,295.11

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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.