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Finding the Third Proportional to 69,433 and 105,122

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Solution

The third proportional to 69,433 and 105,122 is: 159,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,433 : 105,122 = 105,122 : x
  2. Step 2: Convert to fraction form
    69,433/105,122 = 105,122/x
  3. Step 3: Cross multiply
    69,433x = 105,122 × 105,122
  4. Step 4: Simplify right side
    69,433x = 11,050,634,884
  5. Step 5: Solve for x
    x = 11,050,634,884/69,433
  6. Step 6: Final answer
    x = 159,155.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.