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Finding the Third Proportional to 75,097.13 and 116,240.63

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Solution

The third proportional to 75,097.13 and 116,240.63 is: 179,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,097.13 : 116,240.63 = 116,240.63 : x
  2. Step 2: Convert to fraction form
    75,097.13/116,240.63 = 116,240.63/x
  3. Step 3: Cross multiply
    75,097.13x = 116,240.63 × 116,240.63
  4. Step 4: Simplify right side
    75,097.13x = 13,511,882,900.39
  5. Step 5: Solve for x
    x = 13,511,882,900.39/75,097.13
  6. Step 6: Final answer
    x = 179,925.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.