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Finding the Third Proportional to 48,262 and 75,786

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Solution

The third proportional to 48,262 and 75,786 is: 119,007.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,262 : 75,786 = 75,786 : x
  2. Step 2: Convert to fraction form
    48,262/75,786 = 75,786/x
  3. Step 3: Cross multiply
    48,262x = 75,786 × 75,786
  4. Step 4: Simplify right side
    48,262x = 5,743,517,796
  5. Step 5: Solve for x
    x = 5,743,517,796/48,262
  6. Step 6: Final answer
    x = 119,007.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.