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Finding the Third Proportional to 76,750.03 and 107,926.17

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Solution

The third proportional to 76,750.03 and 107,926.17 is: 151,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,750.03 : 107,926.17 = 107,926.17 : x
  2. Step 2: Convert to fraction form
    76,750.03/107,926.17 = 107,926.17/x
  3. Step 3: Cross multiply
    76,750.03x = 107,926.17 × 107,926.17
  4. Step 4: Simplify right side
    76,750.03x = 11,648,058,575.59
  5. Step 5: Solve for x
    x = 11,648,058,575.59/76,750.03
  6. Step 6: Final answer
    x = 151,766.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.