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Finding the Third Proportional to 42,860 and 94,024

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Solution

The third proportional to 42,860 and 94,024 is: 206,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,860 : 94,024 = 94,024 : x
  2. Step 2: Convert to fraction form
    42,860/94,024 = 94,024/x
  3. Step 3: Cross multiply
    42,860x = 94,024 × 94,024
  4. Step 4: Simplify right side
    42,860x = 8,840,512,576
  5. Step 5: Solve for x
    x = 8,840,512,576/42,860
  6. Step 6: Final answer
    x = 206,264.88

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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.