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Finding the Third Proportional to 41,650 and 88,130

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Solution

The third proportional to 41,650 and 88,130 is: 186,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,650 : 88,130 = 88,130 : x
  2. Step 2: Convert to fraction form
    41,650/88,130 = 88,130/x
  3. Step 3: Cross multiply
    41,650x = 88,130 × 88,130
  4. Step 4: Simplify right side
    41,650x = 7,766,896,900
  5. Step 5: Solve for x
    x = 7,766,896,900/41,650
  6. Step 6: Final answer
    x = 186,480.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.