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Finding the Third Proportional to 75,366 and 103,821.75

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Solution

The third proportional to 75,366 and 103,821.75 is: 143,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,366 : 103,821.75 = 103,821.75 : x
  2. Step 2: Convert to fraction form
    75,366/103,821.75 = 103,821.75/x
  3. Step 3: Cross multiply
    75,366x = 103,821.75 × 103,821.75
  4. Step 4: Simplify right side
    75,366x = 10,778,955,773.06
  5. Step 5: Solve for x
    x = 10,778,955,773.06/75,366
  6. Step 6: Final answer
    x = 143,021.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.