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Finding the Third Proportional to 65,800 and 93,779

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Solution

The third proportional to 65,800 and 93,779 is: 133,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,800 : 93,779 = 93,779 : x
  2. Step 2: Convert to fraction form
    65,800/93,779 = 93,779/x
  3. Step 3: Cross multiply
    65,800x = 93,779 × 93,779
  4. Step 4: Simplify right side
    65,800x = 8,794,500,841
  5. Step 5: Solve for x
    x = 8,794,500,841/65,800
  6. Step 6: Final answer
    x = 133,655.03

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Why These Related Problems?

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