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Finding the Third Proportional to 69,542 and 94,468

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Solution

The third proportional to 69,542 and 94,468 is: 128,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,542 : 94,468 = 94,468 : x
  2. Step 2: Convert to fraction form
    69,542/94,468 = 94,468/x
  3. Step 3: Cross multiply
    69,542x = 94,468 × 94,468
  4. Step 4: Simplify right side
    69,542x = 8,924,203,024
  5. Step 5: Solve for x
    x = 8,924,203,024/69,542
  6. Step 6: Final answer
    x = 128,328.25

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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.