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Finding the Third Proportional to 75,184.50 and 162,123

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Solution

The third proportional to 75,184.50 and 162,123 is: 349,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,184.50 : 162,123 = 162,123 : x
  2. Step 2: Convert to fraction form
    75,184.50/162,123 = 162,123/x
  3. Step 3: Cross multiply
    75,184.50x = 162,123 × 162,123
  4. Step 4: Simplify right side
    75,184.50x = 26,283,867,129
  5. Step 5: Solve for x
    x = 26,283,867,129/75,184.50
  6. Step 6: Final answer
    x = 349,591.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.