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Finding the Third Proportional to 85,464 and 187,041

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Solution

The third proportional to 85,464 and 187,041 is: 409,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,464 : 187,041 = 187,041 : x
  2. Step 2: Convert to fraction form
    85,464/187,041 = 187,041/x
  3. Step 3: Cross multiply
    85,464x = 187,041 × 187,041
  4. Step 4: Simplify right side
    85,464x = 34,984,335,681
  5. Step 5: Solve for x
    x = 34,984,335,681/85,464
  6. Step 6: Final answer
    x = 409,345.87

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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.