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Finding the Third Proportional to 42,541 and 91,579

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Solution

The third proportional to 42,541 and 91,579 is: 197,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,541 : 91,579 = 91,579 : x
  2. Step 2: Convert to fraction form
    42,541/91,579 = 91,579/x
  3. Step 3: Cross multiply
    42,541x = 91,579 × 91,579
  4. Step 4: Simplify right side
    42,541x = 8,386,713,241
  5. Step 5: Solve for x
    x = 8,386,713,241/42,541
  6. Step 6: Final answer
    x = 197,144.24

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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.