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Finding the Third Proportional to 64,217.25 and 138,316.50

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Solution

The third proportional to 64,217.25 and 138,316.50 is: 297,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,217.25 : 138,316.50 = 138,316.50 : x
  2. Step 2: Convert to fraction form
    64,217.25/138,316.50 = 138,316.50/x
  3. Step 3: Cross multiply
    64,217.25x = 138,316.50 × 138,316.50
  4. Step 4: Simplify right side
    64,217.25x = 19,131,454,172.25
  5. Step 5: Solve for x
    x = 19,131,454,172.25/64,217.25
  6. Step 6: Final answer
    x = 297,917.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.