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Finding the Third Proportional to 76,041.50 and 156,901

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Solution

The third proportional to 76,041.50 and 156,901 is: 323,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,041.50 : 156,901 = 156,901 : x
  2. Step 2: Convert to fraction form
    76,041.50/156,901 = 156,901/x
  3. Step 3: Cross multiply
    76,041.50x = 156,901 × 156,901
  4. Step 4: Simplify right side
    76,041.50x = 24,617,923,801
  5. Step 5: Solve for x
    x = 24,617,923,801/76,041.50
  6. Step 6: Final answer
    x = 323,743.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.