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Finding the Third Proportional to 75,155.34 and 118,918.13

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Solution

The third proportional to 75,155.34 and 118,918.13 is: 188,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,155.34 : 118,918.13 = 118,918.13 : x
  2. Step 2: Convert to fraction form
    75,155.34/118,918.13 = 118,918.13/x
  3. Step 3: Cross multiply
    75,155.34x = 118,918.13 × 118,918.13
  4. Step 4: Simplify right side
    75,155.34x = 14,141,520,453.52
  5. Step 5: Solve for x
    x = 14,141,520,453.52/75,155.34
  6. Step 6: Final answer
    x = 188,163.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.