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Finding the Third Proportional to 63,037.50 and 136,576.50

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Solution

The third proportional to 63,037.50 and 136,576.50 is: 295,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,037.50 : 136,576.50 = 136,576.50 : x
  2. Step 2: Convert to fraction form
    63,037.50/136,576.50 = 136,576.50/x
  3. Step 3: Cross multiply
    63,037.50x = 136,576.50 × 136,576.50
  4. Step 4: Simplify right side
    63,037.50x = 18,653,140,352.25
  5. Step 5: Solve for x
    x = 18,653,140,352.25/63,037.50
  6. Step 6: Final answer
    x = 295,905.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.