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Finding the Third Proportional to 84,356 and 127,086

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Solution

The third proportional to 84,356 and 127,086 is: 191,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,356 : 127,086 = 127,086 : x
  2. Step 2: Convert to fraction form
    84,356/127,086 = 127,086/x
  3. Step 3: Cross multiply
    84,356x = 127,086 × 127,086
  4. Step 4: Simplify right side
    84,356x = 16,150,851,396
  5. Step 5: Solve for x
    x = 16,150,851,396/84,356
  6. Step 6: Final answer
    x = 191,460.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.