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Finding the Third Proportional to 42,112 and 92,143

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Solution

The third proportional to 42,112 and 92,143 is: 201,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,112 : 92,143 = 92,143 : x
  2. Step 2: Convert to fraction form
    42,112/92,143 = 92,143/x
  3. Step 3: Cross multiply
    42,112x = 92,143 × 92,143
  4. Step 4: Simplify right side
    42,112x = 8,490,332,449
  5. Step 5: Solve for x
    x = 8,490,332,449/42,112
  6. Step 6: Final answer
    x = 201,613.14

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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.