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Finding the Third Proportional to 74,360 and 119,702

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Solution

The third proportional to 74,360 and 119,702 is: 192,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,360 : 119,702 = 119,702 : x
  2. Step 2: Convert to fraction form
    74,360/119,702 = 119,702/x
  3. Step 3: Cross multiply
    74,360x = 119,702 × 119,702
  4. Step 4: Simplify right side
    74,360x = 14,328,568,804
  5. Step 5: Solve for x
    x = 14,328,568,804/74,360
  6. Step 6: Final answer
    x = 192,691.89

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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.