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Finding the Third Proportional to 95,046.75 and 142,285.50

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Solution

The third proportional to 95,046.75 and 142,285.50 is: 213,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,046.75 : 142,285.50 = 142,285.50 : x
  2. Step 2: Convert to fraction form
    95,046.75/142,285.50 = 142,285.50/x
  3. Step 3: Cross multiply
    95,046.75x = 142,285.50 × 142,285.50
  4. Step 4: Simplify right side
    95,046.75x = 20,245,163,510.25
  5. Step 5: Solve for x
    x = 20,245,163,510.25/95,046.75
  6. Step 6: Final answer
    x = 213,002.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.