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Finding the Third Proportional to 84,762 and 103,716

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Solution

The third proportional to 84,762 and 103,716 is: 126,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762 : 103,716 = 103,716 : x
  2. Step 2: Convert to fraction form
    84,762/103,716 = 103,716/x
  3. Step 3: Cross multiply
    84,762x = 103,716 × 103,716
  4. Step 4: Simplify right side
    84,762x = 10,757,008,656
  5. Step 5: Solve for x
    x = 10,757,008,656/84,762
  6. Step 6: Final answer
    x = 126,908.39

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.