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Finding the Third Proportional to 65,801 and 93,780.50

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Solution

The third proportional to 65,801 and 93,780.50 is: 133,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,801 : 93,780.50 = 93,780.50 : x
  2. Step 2: Convert to fraction form
    65,801/93,780.50 = 93,780.50/x
  3. Step 3: Cross multiply
    65,801x = 93,780.50 × 93,780.50
  4. Step 4: Simplify right side
    65,801x = 8,794,782,180.25
  5. Step 5: Solve for x
    x = 8,794,782,180.25/65,801
  6. Step 6: Final answer
    x = 133,657.27

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