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Finding the Third Proportional to 63,225.98 and 135,420.19

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Solution

The third proportional to 63,225.98 and 135,420.19 is: 290,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,225.98 : 135,420.19 = 135,420.19 : x
  2. Step 2: Convert to fraction form
    63,225.98/135,420.19 = 135,420.19/x
  3. Step 3: Cross multiply
    63,225.98x = 135,420.19 × 135,420.19
  4. Step 4: Simplify right side
    63,225.98x = 18,338,627,182.54
  5. Step 5: Solve for x
    x = 18,338,627,182.54/63,225.98
  6. Step 6: Final answer
    x = 290,048.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.