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Finding the Third Proportional to 105,421.50 and 159,448.50

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Solution

The third proportional to 105,421.50 and 159,448.50 is: 241,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,421.50 : 159,448.50 = 159,448.50 : x
  2. Step 2: Convert to fraction form
    105,421.50/159,448.50 = 159,448.50/x
  3. Step 3: Cross multiply
    105,421.50x = 159,448.50 × 159,448.50
  4. Step 4: Simplify right side
    105,421.50x = 25,423,824,152.25
  5. Step 5: Solve for x
    x = 25,423,824,152.25/105,421.50
  6. Step 6: Final answer
    x = 241,163.56

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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.