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Finding the Third Proportional to 76,748 and 167,435

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Solution

The third proportional to 76,748 and 167,435 is: 365,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,748 : 167,435 = 167,435 : x
  2. Step 2: Convert to fraction form
    76,748/167,435 = 167,435/x
  3. Step 3: Cross multiply
    76,748x = 167,435 × 167,435
  4. Step 4: Simplify right side
    76,748x = 28,034,479,225
  5. Step 5: Solve for x
    x = 28,034,479,225/76,748
  6. Step 6: Final answer
    x = 365,279.61

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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.