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Finding the Third Proportional to 73,848 and 162,464

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Solution

The third proportional to 73,848 and 162,464 is: 357,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,848 : 162,464 = 162,464 : x
  2. Step 2: Convert to fraction form
    73,848/162,464 = 162,464/x
  3. Step 3: Cross multiply
    73,848x = 162,464 × 162,464
  4. Step 4: Simplify right side
    73,848x = 26,394,551,296
  5. Step 5: Solve for x
    x = 26,394,551,296/73,848
  6. Step 6: Final answer
    x = 357,417.28

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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.