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Finding the Third Proportional to 63,218.25 and 135,733.50

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Solution

The third proportional to 63,218.25 and 135,733.50 is: 291,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,218.25 : 135,733.50 = 135,733.50 : x
  2. Step 2: Convert to fraction form
    63,218.25/135,733.50 = 135,733.50/x
  3. Step 3: Cross multiply
    63,218.25x = 135,733.50 × 135,733.50
  4. Step 4: Simplify right side
    63,218.25x = 18,423,583,022.25
  5. Step 5: Solve for x
    x = 18,423,583,022.25/63,218.25
  6. Step 6: Final answer
    x = 291,428.24

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Why These Related Problems?

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