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Finding the Third Proportional to 84,250 and 187,184

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Solution

The third proportional to 84,250 and 187,184 is: 415,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,250 : 187,184 = 187,184 : x
  2. Step 2: Convert to fraction form
    84,250/187,184 = 187,184/x
  3. Step 3: Cross multiply
    84,250x = 187,184 × 187,184
  4. Step 4: Simplify right side
    84,250x = 35,037,849,856
  5. Step 5: Solve for x
    x = 35,037,849,856/84,250
  6. Step 6: Final answer
    x = 415,879.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.