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Finding the Third Proportional to 42,767 and 93,661

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Solution

The third proportional to 42,767 and 93,661 is: 205,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,767 : 93,661 = 93,661 : x
  2. Step 2: Convert to fraction form
    42,767/93,661 = 93,661/x
  3. Step 3: Cross multiply
    42,767x = 93,661 × 93,661
  4. Step 4: Simplify right side
    42,767x = 8,772,382,921
  5. Step 5: Solve for x
    x = 8,772,382,921/42,767
  6. Step 6: Final answer
    x = 205,120.37

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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.