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Finding the Third Proportional to 69,338 and 99,086

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Solution

The third proportional to 69,338 and 99,086 is: 141,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,338 : 99,086 = 99,086 : x
  2. Step 2: Convert to fraction form
    69,338/99,086 = 99,086/x
  3. Step 3: Cross multiply
    69,338x = 99,086 × 99,086
  4. Step 4: Simplify right side
    69,338x = 9,818,035,396
  5. Step 5: Solve for x
    x = 9,818,035,396/69,338
  6. Step 6: Final answer
    x = 141,596.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.