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Finding the Third Proportional to 52,460 and 81,794

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Solution

The third proportional to 52,460 and 81,794 is: 127,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,460 : 81,794 = 81,794 : x
  2. Step 2: Convert to fraction form
    52,460/81,794 = 81,794/x
  3. Step 3: Cross multiply
    52,460x = 81,794 × 81,794
  4. Step 4: Simplify right side
    52,460x = 6,690,258,436
  5. Step 5: Solve for x
    x = 6,690,258,436/52,460
  6. Step 6: Final answer
    x = 127,530.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.