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Finding the Third Proportional to 69,260 and 92,433

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Solution

The third proportional to 69,260 and 92,433 is: 123,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,260 : 92,433 = 92,433 : x
  2. Step 2: Convert to fraction form
    69,260/92,433 = 92,433/x
  3. Step 3: Cross multiply
    69,260x = 92,433 × 92,433
  4. Step 4: Simplify right side
    69,260x = 8,543,859,489
  5. Step 5: Solve for x
    x = 8,543,859,489/69,260
  6. Step 6: Final answer
    x = 123,359.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.