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Finding the Third Proportional to 41,116 and 88,470

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Solution

The third proportional to 41,116 and 88,470 is: 190,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,116 : 88,470 = 88,470 : x
  2. Step 2: Convert to fraction form
    41,116/88,470 = 88,470/x
  3. Step 3: Cross multiply
    41,116x = 88,470 × 88,470
  4. Step 4: Simplify right side
    41,116x = 7,826,940,900
  5. Step 5: Solve for x
    x = 7,826,940,900/41,116
  6. Step 6: Final answer
    x = 190,362.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.