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Finding the Third Proportional to 78,784 and 116,939

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Solution

The third proportional to 78,784 and 116,939 is: 173,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,784 : 116,939 = 116,939 : x
  2. Step 2: Convert to fraction form
    78,784/116,939 = 116,939/x
  3. Step 3: Cross multiply
    78,784x = 116,939 × 116,939
  4. Step 4: Simplify right side
    78,784x = 13,674,729,721
  5. Step 5: Solve for x
    x = 13,674,729,721/78,784
  6. Step 6: Final answer
    x = 173,572.42

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.