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Finding the Third Proportional to 66,338 and 93,780

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Solution

The third proportional to 66,338 and 93,780 is: 132,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,338 : 93,780 = 93,780 : x
  2. Step 2: Convert to fraction form
    66,338/93,780 = 93,780/x
  3. Step 3: Cross multiply
    66,338x = 93,780 × 93,780
  4. Step 4: Simplify right side
    66,338x = 8,794,688,400
  5. Step 5: Solve for x
    x = 8,794,688,400/66,338
  6. Step 6: Final answer
    x = 132,573.92

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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.