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Finding the Third Proportional to 76,189.50 and 115,983

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Solution

The third proportional to 76,189.50 and 115,983 is: 176,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,189.50 : 115,983 = 115,983 : x
  2. Step 2: Convert to fraction form
    76,189.50/115,983 = 115,983/x
  3. Step 3: Cross multiply
    76,189.50x = 115,983 × 115,983
  4. Step 4: Simplify right side
    76,189.50x = 13,452,056,289
  5. Step 5: Solve for x
    x = 13,452,056,289/76,189.50
  6. Step 6: Final answer
    x = 176,560.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.