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Finding the Third Proportional to 118,917 and 158,530.50

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Solution

The third proportional to 118,917 and 158,530.50 is: 211,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,917 : 158,530.50 = 158,530.50 : x
  2. Step 2: Convert to fraction form
    118,917/158,530.50 = 158,530.50/x
  3. Step 3: Cross multiply
    118,917x = 158,530.50 × 158,530.50
  4. Step 4: Simplify right side
    118,917x = 25,131,919,430.25
  5. Step 5: Solve for x
    x = 25,131,919,430.25/118,917
  6. Step 6: Final answer
    x = 211,340.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.