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Finding the Third Proportional to 74,355 and 119,697

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Solution

The third proportional to 74,355 and 119,697 is: 192,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,355 : 119,697 = 119,697 : x
  2. Step 2: Convert to fraction form
    74,355/119,697 = 119,697/x
  3. Step 3: Cross multiply
    74,355x = 119,697 × 119,697
  4. Step 4: Simplify right side
    74,355x = 14,327,371,809
  5. Step 5: Solve for x
    x = 14,327,371,809/74,355
  6. Step 6: Final answer
    x = 192,688.75

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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.