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Finding the Third Proportional to 72,334.69 and 111,250.13

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Solution

The third proportional to 72,334.69 and 111,250.13 is: 171,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,334.69 : 111,250.13 = 111,250.13 : x
  2. Step 2: Convert to fraction form
    72,334.69/111,250.13 = 111,250.13/x
  3. Step 3: Cross multiply
    72,334.69x = 111,250.13 × 111,250.13
  4. Step 4: Simplify right side
    72,334.69x = 12,376,590,312.52
  5. Step 5: Solve for x
    x = 12,376,590,312.52/72,334.69
  6. Step 6: Final answer
    x = 171,101.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.