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Finding the Third Proportional to 86,103 and 95,121

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Solution

The third proportional to 86,103 and 95,121 is: 105,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,103 : 95,121 = 95,121 : x
  2. Step 2: Convert to fraction form
    86,103/95,121 = 95,121/x
  3. Step 3: Cross multiply
    86,103x = 95,121 × 95,121
  4. Step 4: Simplify right side
    86,103x = 9,048,004,641
  5. Step 5: Solve for x
    x = 9,048,004,641/86,103
  6. Step 6: Final answer
    x = 105,083.50

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.