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Finding the Third Proportional to 79,768 and 116,190

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Solution

The third proportional to 79,768 and 116,190 is: 169,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,768 : 116,190 = 116,190 : x
  2. Step 2: Convert to fraction form
    79,768/116,190 = 116,190/x
  3. Step 3: Cross multiply
    79,768x = 116,190 × 116,190
  4. Step 4: Simplify right side
    79,768x = 13,500,116,100
  5. Step 5: Solve for x
    x = 13,500,116,100/79,768
  6. Step 6: Final answer
    x = 169,242.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.