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Finding the Third Proportional to 76,038 and 111,081

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Solution

The third proportional to 76,038 and 111,081 is: 162,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,038 : 111,081 = 111,081 : x
  2. Step 2: Convert to fraction form
    76,038/111,081 = 111,081/x
  3. Step 3: Cross multiply
    76,038x = 111,081 × 111,081
  4. Step 4: Simplify right side
    76,038x = 12,338,988,561
  5. Step 5: Solve for x
    x = 12,338,988,561/76,038
  6. Step 6: Final answer
    x = 162,273.98

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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.