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Finding the Third Proportional to 113,501.81 and 159,069.38

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Solution

The third proportional to 113,501.81 and 159,069.38 is: 222,930.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,501.81 : 159,069.38 = 159,069.38 : x
  2. Step 2: Convert to fraction form
    113,501.81/159,069.38 = 159,069.38/x
  3. Step 3: Cross multiply
    113,501.81x = 159,069.38 × 159,069.38
  4. Step 4: Simplify right side
    113,501.81x = 25,303,066,062.89
  5. Step 5: Solve for x
    x = 25,303,066,062.89/113,501.81
  6. Step 6: Final answer
    x = 222,930.94

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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.