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Finding the Third Proportional to 63,508.50 and 135,769.50

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Solution

The third proportional to 63,508.50 and 135,769.50 is: 290,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,508.50 : 135,769.50 = 135,769.50 : x
  2. Step 2: Convert to fraction form
    63,508.50/135,769.50 = 135,769.50/x
  3. Step 3: Cross multiply
    63,508.50x = 135,769.50 × 135,769.50
  4. Step 4: Simplify right side
    63,508.50x = 18,433,357,130.25
  5. Step 5: Solve for x
    x = 18,433,357,130.25/63,508.50
  6. Step 6: Final answer
    x = 290,250.24

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Why These Related Problems?

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