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Finding the Third Proportional to 63,501.75 and 135,751.50

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Solution

The third proportional to 63,501.75 and 135,751.50 is: 290,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,501.75 : 135,751.50 = 135,751.50 : x
  2. Step 2: Convert to fraction form
    63,501.75/135,751.50 = 135,751.50/x
  3. Step 3: Cross multiply
    63,501.75x = 135,751.50 × 135,751.50
  4. Step 4: Simplify right side
    63,501.75x = 18,428,469,752.25
  5. Step 5: Solve for x
    x = 18,428,469,752.25/63,501.75
  6. Step 6: Final answer
    x = 290,204.12

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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.