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Finding the Third Proportional to 75,228.91 and 116,860.48

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Solution

The third proportional to 75,228.91 and 116,860.48 is: 181,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228.91 : 116,860.48 = 116,860.48 : x
  2. Step 2: Convert to fraction form
    75,228.91/116,860.48 = 116,860.48/x
  3. Step 3: Cross multiply
    75,228.91x = 116,860.48 × 116,860.48
  4. Step 4: Simplify right side
    75,228.91x = 13,656,372,351.87
  5. Step 5: Solve for x
    x = 13,656,372,351.87/75,228.91
  6. Step 6: Final answer
    x = 181,530.91

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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.