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Finding the Third Proportional to 62,353.50 and 137,824.50

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Solution

The third proportional to 62,353.50 and 137,824.50 is: 304,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,353.50 : 137,824.50 = 137,824.50 : x
  2. Step 2: Convert to fraction form
    62,353.50/137,824.50 = 137,824.50/x
  3. Step 3: Cross multiply
    62,353.50x = 137,824.50 × 137,824.50
  4. Step 4: Simplify right side
    62,353.50x = 18,995,592,800.25
  5. Step 5: Solve for x
    x = 18,995,592,800.25/62,353.50
  6. Step 6: Final answer
    x = 304,643.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.