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Finding the Third Proportional to 85,464 and 187,017

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Solution

The third proportional to 85,464 and 187,017 is: 409,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,464 : 187,017 = 187,017 : x
  2. Step 2: Convert to fraction form
    85,464/187,017 = 187,017/x
  3. Step 3: Cross multiply
    85,464x = 187,017 × 187,017
  4. Step 4: Simplify right side
    85,464x = 34,975,358,289
  5. Step 5: Solve for x
    x = 34,975,358,289/85,464
  6. Step 6: Final answer
    x = 409,240.83

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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.