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Finding the Third Proportional to 62,050 and 83,233

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Solution

The third proportional to 62,050 and 83,233 is: 111,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,050 : 83,233 = 83,233 : x
  2. Step 2: Convert to fraction form
    62,050/83,233 = 83,233/x
  3. Step 3: Cross multiply
    62,050x = 83,233 × 83,233
  4. Step 4: Simplify right side
    62,050x = 6,927,732,289
  5. Step 5: Solve for x
    x = 6,927,732,289/62,050
  6. Step 6: Final answer
    x = 111,647.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.