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Finding the Third Proportional to 52,252 and 74,692

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Solution

The third proportional to 52,252 and 74,692 is: 106,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,252 : 74,692 = 74,692 : x
  2. Step 2: Convert to fraction form
    52,252/74,692 = 74,692/x
  3. Step 3: Cross multiply
    52,252x = 74,692 × 74,692
  4. Step 4: Simplify right side
    52,252x = 5,578,894,864
  5. Step 5: Solve for x
    x = 5,578,894,864/52,252
  6. Step 6: Final answer
    x = 106,769.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.