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Finding the Third Proportional to 79,200 and 116,928

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Solution

The third proportional to 79,200 and 116,928 is: 172,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,200 : 116,928 = 116,928 : x
  2. Step 2: Convert to fraction form
    79,200/116,928 = 116,928/x
  3. Step 3: Cross multiply
    79,200x = 116,928 × 116,928
  4. Step 4: Simplify right side
    79,200x = 13,672,157,184
  5. Step 5: Solve for x
    x = 13,672,157,184/79,200
  6. Step 6: Final answer
    x = 172,628.25

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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.