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Finding the Third Proportional to 76,637 and 167,530

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Solution

The third proportional to 76,637 and 167,530 is: 366,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,637 : 167,530 = 167,530 : x
  2. Step 2: Convert to fraction form
    76,637/167,530 = 167,530/x
  3. Step 3: Cross multiply
    76,637x = 167,530 × 167,530
  4. Step 4: Simplify right side
    76,637x = 28,066,300,900
  5. Step 5: Solve for x
    x = 28,066,300,900/76,637
  6. Step 6: Final answer
    x = 366,223.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.