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Finding the Third Proportional to 72,184.50 and 104,996.25

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Solution

The third proportional to 72,184.50 and 104,996.25 is: 152,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,184.50 : 104,996.25 = 104,996.25 : x
  2. Step 2: Convert to fraction form
    72,184.50/104,996.25 = 104,996.25/x
  3. Step 3: Cross multiply
    72,184.50x = 104,996.25 × 104,996.25
  4. Step 4: Simplify right side
    72,184.50x = 11,024,212,514.06
  5. Step 5: Solve for x
    x = 11,024,212,514.06/72,184.50
  6. Step 6: Final answer
    x = 152,722.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.