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Finding the Third Proportional to 74,378 and 111,730

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Solution

The third proportional to 74,378 and 111,730 is: 167,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,378 : 111,730 = 111,730 : x
  2. Step 2: Convert to fraction form
    74,378/111,730 = 111,730/x
  3. Step 3: Cross multiply
    74,378x = 111,730 × 111,730
  4. Step 4: Simplify right side
    74,378x = 12,483,592,900
  5. Step 5: Solve for x
    x = 12,483,592,900/74,378
  6. Step 6: Final answer
    x = 167,839.86

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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.