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Finding the Third Proportional to 113,484 and 159,046.50

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Solution

The third proportional to 113,484 and 159,046.50 is: 222,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,484 : 159,046.50 = 159,046.50 : x
  2. Step 2: Convert to fraction form
    113,484/159,046.50 = 159,046.50/x
  3. Step 3: Cross multiply
    113,484x = 159,046.50 × 159,046.50
  4. Step 4: Simplify right side
    113,484x = 25,295,789,162.25
  5. Step 5: Solve for x
    x = 25,295,789,162.25/113,484
  6. Step 6: Final answer
    x = 222,901.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.