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Finding the Third Proportional to 63,977.75 and 137,675.50

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Solution

The third proportional to 63,977.75 and 137,675.50 is: 296,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,977.75 : 137,675.50 = 137,675.50 : x
  2. Step 2: Convert to fraction form
    63,977.75/137,675.50 = 137,675.50/x
  3. Step 3: Cross multiply
    63,977.75x = 137,675.50 × 137,675.50
  4. Step 4: Simplify right side
    63,977.75x = 18,954,543,300.25
  5. Step 5: Solve for x
    x = 18,954,543,300.25/63,977.75
  6. Step 6: Final answer
    x = 296,267.74

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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.