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Finding the Third Proportional to 75,663 and 179,182.50

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Solution

The third proportional to 75,663 and 179,182.50 is: 424,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,663 : 179,182.50 = 179,182.50 : x
  2. Step 2: Convert to fraction form
    75,663/179,182.50 = 179,182.50/x
  3. Step 3: Cross multiply
    75,663x = 179,182.50 × 179,182.50
  4. Step 4: Simplify right side
    75,663x = 32,106,368,306.25
  5. Step 5: Solve for x
    x = 32,106,368,306.25/75,663
  6. Step 6: Final answer
    x = 424,333.80

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.