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Finding the Third Proportional to 42,443 and 91,459

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Solution

The third proportional to 42,443 and 91,459 is: 197,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,443 : 91,459 = 91,459 : x
  2. Step 2: Convert to fraction form
    42,443/91,459 = 91,459/x
  3. Step 3: Cross multiply
    42,443x = 91,459 × 91,459
  4. Step 4: Simplify right side
    42,443x = 8,364,748,681
  5. Step 5: Solve for x
    x = 8,364,748,681/42,443
  6. Step 6: Final answer
    x = 197,081.94

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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.