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Finding the Third Proportional to 42,530 and 91,862

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Solution

The third proportional to 42,530 and 91,862 is: 198,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,530 : 91,862 = 91,862 : x
  2. Step 2: Convert to fraction form
    42,530/91,862 = 91,862/x
  3. Step 3: Cross multiply
    42,530x = 91,862 × 91,862
  4. Step 4: Simplify right side
    42,530x = 8,438,627,044
  5. Step 5: Solve for x
    x = 8,438,627,044/42,530
  6. Step 6: Final answer
    x = 198,415.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.