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Finding the Third Proportional to 76,113 and 167,778

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Solution

The third proportional to 76,113 and 167,778 is: 369,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,113 : 167,778 = 167,778 : x
  2. Step 2: Convert to fraction form
    76,113/167,778 = 167,778/x
  3. Step 3: Cross multiply
    76,113x = 167,778 × 167,778
  4. Step 4: Simplify right side
    76,113x = 28,149,457,284
  5. Step 5: Solve for x
    x = 28,149,457,284/76,113
  6. Step 6: Final answer
    x = 369,837.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.