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Finding the Third Proportional to 45,364 and 96,127

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Solution

The third proportional to 45,364 and 96,127 is: 203,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,364 : 96,127 = 96,127 : x
  2. Step 2: Convert to fraction form
    45,364/96,127 = 96,127/x
  3. Step 3: Cross multiply
    45,364x = 96,127 × 96,127
  4. Step 4: Simplify right side
    45,364x = 9,240,400,129
  5. Step 5: Solve for x
    x = 9,240,400,129/45,364
  6. Step 6: Final answer
    x = 203,694.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.