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Finding the Third Proportional to 72,337.50 and 150,133.50

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Solution

The third proportional to 72,337.50 and 150,133.50 is: 311,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,337.50 : 150,133.50 = 150,133.50 : x
  2. Step 2: Convert to fraction form
    72,337.50/150,133.50 = 150,133.50/x
  3. Step 3: Cross multiply
    72,337.50x = 150,133.50 × 150,133.50
  4. Step 4: Simplify right side
    72,337.50x = 22,540,067,822.25
  5. Step 5: Solve for x
    x = 22,540,067,822.25/72,337.50
  6. Step 6: Final answer
    x = 311,595.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.