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Finding the Third Proportional to 73,888 and 162,536

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Solution

The third proportional to 73,888 and 162,536 is: 357,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,888 : 162,536 = 162,536 : x
  2. Step 2: Convert to fraction form
    73,888/162,536 = 162,536/x
  3. Step 3: Cross multiply
    73,888x = 162,536 × 162,536
  4. Step 4: Simplify right side
    73,888x = 26,417,951,296
  5. Step 5: Solve for x
    x = 26,417,951,296/73,888
  6. Step 6: Final answer
    x = 357,540.48

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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.