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Finding the Third Proportional to 42,324 and 91,020

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Solution

The third proportional to 42,324 and 91,020 is: 195,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,324 : 91,020 = 91,020 : x
  2. Step 2: Convert to fraction form
    42,324/91,020 = 91,020/x
  3. Step 3: Cross multiply
    42,324x = 91,020 × 91,020
  4. Step 4: Simplify right side
    42,324x = 8,284,640,400
  5. Step 5: Solve for x
    x = 8,284,640,400/42,324
  6. Step 6: Final answer
    x = 195,743.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.