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Finding the Third Proportional to 75,103 and 115,966.13

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Solution

The third proportional to 75,103 and 115,966.13 is: 179,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,103 : 115,966.13 = 115,966.13 : x
  2. Step 2: Convert to fraction form
    75,103/115,966.13 = 115,966.13/x
  3. Step 3: Cross multiply
    75,103x = 115,966.13 × 115,966.13
  4. Step 4: Simplify right side
    75,103x = 13,448,142,147.52
  5. Step 5: Solve for x
    x = 13,448,142,147.52/75,103
  6. Step 6: Final answer
    x = 179,062.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.