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Finding the Third Proportional to 76,768 and 167,464

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Solution

The third proportional to 76,768 and 167,464 is: 365,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,768 : 167,464 = 167,464 : x
  2. Step 2: Convert to fraction form
    76,768/167,464 = 167,464/x
  3. Step 3: Cross multiply
    76,768x = 167,464 × 167,464
  4. Step 4: Simplify right side
    76,768x = 28,044,191,296
  5. Step 5: Solve for x
    x = 28,044,191,296/76,768
  6. Step 6: Final answer
    x = 365,310.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.