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Finding the Third Proportional to 62,433 and 137,295

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Solution

The third proportional to 62,433 and 137,295 is: 301,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,433 : 137,295 = 137,295 : x
  2. Step 2: Convert to fraction form
    62,433/137,295 = 137,295/x
  3. Step 3: Cross multiply
    62,433x = 137,295 × 137,295
  4. Step 4: Simplify right side
    62,433x = 18,849,917,025
  5. Step 5: Solve for x
    x = 18,849,917,025/62,433
  6. Step 6: Final answer
    x = 301,922.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.