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Finding the Third Proportional to 72,999 and 95,854.50

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Solution

The third proportional to 72,999 and 95,854.50 is: 125,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,999 : 95,854.50 = 95,854.50 : x
  2. Step 2: Convert to fraction form
    72,999/95,854.50 = 95,854.50/x
  3. Step 3: Cross multiply
    72,999x = 95,854.50 × 95,854.50
  4. Step 4: Simplify right side
    72,999x = 9,188,085,170.25
  5. Step 5: Solve for x
    x = 9,188,085,170.25/72,999
  6. Step 6: Final answer
    x = 125,865.90

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.