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Finding the Third Proportional to 48,470 and 105,941

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Solution

The third proportional to 48,470 and 105,941 is: 231,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,470 : 105,941 = 105,941 : x
  2. Step 2: Convert to fraction form
    48,470/105,941 = 105,941/x
  3. Step 3: Cross multiply
    48,470x = 105,941 × 105,941
  4. Step 4: Simplify right side
    48,470x = 11,223,495,481
  5. Step 5: Solve for x
    x = 11,223,495,481/48,470
  6. Step 6: Final answer
    x = 231,555.51

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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.