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Finding the Third Proportional to 74,415 and 111,789

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Solution

The third proportional to 74,415 and 111,789 is: 167,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,415 : 111,789 = 111,789 : x
  2. Step 2: Convert to fraction form
    74,415/111,789 = 111,789/x
  3. Step 3: Cross multiply
    74,415x = 111,789 × 111,789
  4. Step 4: Simplify right side
    74,415x = 12,496,780,521
  5. Step 5: Solve for x
    x = 12,496,780,521/74,415
  6. Step 6: Final answer
    x = 167,933.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.