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Finding the Third Proportional to 52,746 and 93,801

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Solution

The third proportional to 52,746 and 93,801 is: 166,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,746 : 93,801 = 93,801 : x
  2. Step 2: Convert to fraction form
    52,746/93,801 = 93,801/x
  3. Step 3: Cross multiply
    52,746x = 93,801 × 93,801
  4. Step 4: Simplify right side
    52,746x = 8,798,627,601
  5. Step 5: Solve for x
    x = 8,798,627,601/52,746
  6. Step 6: Final answer
    x = 166,811.28

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.