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Finding the Third Proportional to 128,988 and 185,791.50

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Solution

The third proportional to 128,988 and 185,791.50 is: 267,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,988 : 185,791.50 = 185,791.50 : x
  2. Step 2: Convert to fraction form
    128,988/185,791.50 = 185,791.50/x
  3. Step 3: Cross multiply
    128,988x = 185,791.50 × 185,791.50
  4. Step 4: Simplify right side
    128,988x = 34,518,481,472.25
  5. Step 5: Solve for x
    x = 34,518,481,472.25/128,988
  6. Step 6: Final answer
    x = 267,610.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.