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Finding the Third Proportional to 47,223 and 69,133

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Solution

The third proportional to 47,223 and 69,133 is: 101,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,223 : 69,133 = 69,133 : x
  2. Step 2: Convert to fraction form
    47,223/69,133 = 69,133/x
  3. Step 3: Cross multiply
    47,223x = 69,133 × 69,133
  4. Step 4: Simplify right side
    47,223x = 4,779,371,689
  5. Step 5: Solve for x
    x = 4,779,371,689/47,223
  6. Step 6: Final answer
    x = 101,208.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.