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Finding the Third Proportional to 75,333.38 and 121,123.13

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Solution

The third proportional to 75,333.38 and 121,123.13 is: 194,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,333.38 : 121,123.13 = 121,123.13 : x
  2. Step 2: Convert to fraction form
    75,333.38/121,123.13 = 121,123.13/x
  3. Step 3: Cross multiply
    75,333.38x = 121,123.13 × 121,123.13
  4. Step 4: Simplify right side
    75,333.38x = 14,670,811,409.77
  5. Step 5: Solve for x
    x = 14,670,811,409.77/75,333.38
  6. Step 6: Final answer
    x = 194,745.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.