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Finding the Third Proportional to 75,345.75 and 103,314

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Solution

The third proportional to 75,345.75 and 103,314 is: 141,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,345.75 : 103,314 = 103,314 : x
  2. Step 2: Convert to fraction form
    75,345.75/103,314 = 103,314/x
  3. Step 3: Cross multiply
    75,345.75x = 103,314 × 103,314
  4. Step 4: Simplify right side
    75,345.75x = 10,673,782,596
  5. Step 5: Solve for x
    x = 10,673,782,596/75,345.75
  6. Step 6: Final answer
    x = 141,664.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.