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Finding the Third Proportional to 42,333.75 and 93,306.66

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Solution

The third proportional to 42,333.75 and 93,306.66 is: 205,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,333.75 : 93,306.66 = 93,306.66 : x
  2. Step 2: Convert to fraction form
    42,333.75/93,306.66 = 93,306.66/x
  3. Step 3: Cross multiply
    42,333.75x = 93,306.66 × 93,306.66
  4. Step 4: Simplify right side
    42,333.75x = 8,706,132,100.56
  5. Step 5: Solve for x
    x = 8,706,132,100.56/42,333.75
  6. Step 6: Final answer
    x = 205,654.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.