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Finding the Third Proportional to 95,926 and 141,296

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Solution

The third proportional to 95,926 and 141,296 is: 208,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,926 : 141,296 = 141,296 : x
  2. Step 2: Convert to fraction form
    95,926/141,296 = 141,296/x
  3. Step 3: Cross multiply
    95,926x = 141,296 × 141,296
  4. Step 4: Simplify right side
    95,926x = 19,964,559,616
  5. Step 5: Solve for x
    x = 19,964,559,616/95,926
  6. Step 6: Final answer
    x = 208,124.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.