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Finding the Third Proportional to 73,848 and 161,062.50

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Solution

The third proportional to 73,848 and 161,062.50 is: 351,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,848 : 161,062.50 = 161,062.50 : x
  2. Step 2: Convert to fraction form
    73,848/161,062.50 = 161,062.50/x
  3. Step 3: Cross multiply
    73,848x = 161,062.50 × 161,062.50
  4. Step 4: Simplify right side
    73,848x = 25,941,128,906.25
  5. Step 5: Solve for x
    x = 25,941,128,906.25/73,848
  6. Step 6: Final answer
    x = 351,277.34

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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.