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Finding the Third Proportional to 85,382 and 137,187

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Solution

The third proportional to 85,382 and 137,187 is: 220,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,382 : 137,187 = 137,187 : x
  2. Step 2: Convert to fraction form
    85,382/137,187 = 137,187/x
  3. Step 3: Cross multiply
    85,382x = 137,187 × 137,187
  4. Step 4: Simplify right side
    85,382x = 18,820,272,969
  5. Step 5: Solve for x
    x = 18,820,272,969/85,382
  6. Step 6: Final answer
    x = 220,424.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.