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Finding the Third Proportional to 42,759 and 93,645

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Solution

The third proportional to 42,759 and 93,645 is: 205,088.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,759 : 93,645 = 93,645 : x
  2. Step 2: Convert to fraction form
    42,759/93,645 = 93,645/x
  3. Step 3: Cross multiply
    42,759x = 93,645 × 93,645
  4. Step 4: Simplify right side
    42,759x = 8,769,386,025
  5. Step 5: Solve for x
    x = 8,769,386,025/42,759
  6. Step 6: Final answer
    x = 205,088.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.