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Finding the Third Proportional to 43,177.50 and 101,779

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Solution

The third proportional to 43,177.50 and 101,779 is: 239,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,177.50 : 101,779 = 101,779 : x
  2. Step 2: Convert to fraction form
    43,177.50/101,779 = 101,779/x
  3. Step 3: Cross multiply
    43,177.50x = 101,779 × 101,779
  4. Step 4: Simplify right side
    43,177.50x = 10,358,964,841
  5. Step 5: Solve for x
    x = 10,358,964,841/43,177.50
  6. Step 6: Final answer
    x = 239,915.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.