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Finding the Third Proportional to 42,384 and 93,066

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Solution

The third proportional to 42,384 and 93,066 is: 204,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,384 : 93,066 = 93,066 : x
  2. Step 2: Convert to fraction form
    42,384/93,066 = 93,066/x
  3. Step 3: Cross multiply
    42,384x = 93,066 × 93,066
  4. Step 4: Simplify right side
    42,384x = 8,661,280,356
  5. Step 5: Solve for x
    x = 8,661,280,356/42,384
  6. Step 6: Final answer
    x = 204,352.59

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