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Finding the Third Proportional to 71,709.75 and 95,778

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Solution

The third proportional to 71,709.75 and 95,778 is: 127,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.75 : 95,778 = 95,778 : x
  2. Step 2: Convert to fraction form
    71,709.75/95,778 = 95,778/x
  3. Step 3: Cross multiply
    71,709.75x = 95,778 × 95,778
  4. Step 4: Simplify right side
    71,709.75x = 9,173,425,284
  5. Step 5: Solve for x
    x = 9,173,425,284/71,709.75
  6. Step 6: Final answer
    x = 127,924.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.