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Finding the Third Proportional to 105,322.50 and 159,117.75

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Solution

The third proportional to 105,322.50 and 159,117.75 is: 240,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,322.50 : 159,117.75 = 159,117.75 : x
  2. Step 2: Convert to fraction form
    105,322.50/159,117.75 = 159,117.75/x
  3. Step 3: Cross multiply
    105,322.50x = 159,117.75 × 159,117.75
  4. Step 4: Simplify right side
    105,322.50x = 25,318,458,365.06
  5. Step 5: Solve for x
    x = 25,318,458,365.06/105,322.50
  6. Step 6: Final answer
    x = 240,389.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.