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Finding the Third Proportional to 75,883.50 and 179,047.13

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Solution

The third proportional to 75,883.50 and 179,047.13 is: 422,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,883.50 : 179,047.13 = 179,047.13 : x
  2. Step 2: Convert to fraction form
    75,883.50/179,047.13 = 179,047.13/x
  3. Step 3: Cross multiply
    75,883.50x = 179,047.13 × 179,047.13
  4. Step 4: Simplify right side
    75,883.50x = 32,057,872,970.77
  5. Step 5: Solve for x
    x = 32,057,872,970.77/75,883.50
  6. Step 6: Final answer
    x = 422,461.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.