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Finding the Third Proportional to 66,336 and 93,777

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Solution

The third proportional to 66,336 and 93,777 is: 132,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,336 : 93,777 = 93,777 : x
  2. Step 2: Convert to fraction form
    66,336/93,777 = 93,777/x
  3. Step 3: Cross multiply
    66,336x = 93,777 × 93,777
  4. Step 4: Simplify right side
    66,336x = 8,794,125,729
  5. Step 5: Solve for x
    x = 8,794,125,729/66,336
  6. Step 6: Final answer
    x = 132,569.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.