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Finding the Third Proportional to 52,753 and 70,469

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Solution

The third proportional to 52,753 and 70,469 is: 94,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,753 : 70,469 = 70,469 : x
  2. Step 2: Convert to fraction form
    52,753/70,469 = 70,469/x
  3. Step 3: Cross multiply
    52,753x = 70,469 × 70,469
  4. Step 4: Simplify right side
    52,753x = 4,965,879,961
  5. Step 5: Solve for x
    x = 4,965,879,961/52,753
  6. Step 6: Final answer
    x = 94,134.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.