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Finding the Third Proportional to 69,543 and 94,467

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Solution

The third proportional to 69,543 and 94,467 is: 128,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,543 : 94,467 = 94,467 : x
  2. Step 2: Convert to fraction form
    69,543/94,467 = 94,467/x
  3. Step 3: Cross multiply
    69,543x = 94,467 × 94,467
  4. Step 4: Simplify right side
    69,543x = 8,924,014,089
  5. Step 5: Solve for x
    x = 8,924,014,089/69,543
  6. Step 6: Final answer
    x = 128,323.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.