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Finding the Third Proportional to 45,358 and 96,116

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Solution

The third proportional to 45,358 and 96,116 is: 203,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,358 : 96,116 = 96,116 : x
  2. Step 2: Convert to fraction form
    45,358/96,116 = 96,116/x
  3. Step 3: Cross multiply
    45,358x = 96,116 × 96,116
  4. Step 4: Simplify right side
    45,358x = 9,238,285,456
  5. Step 5: Solve for x
    x = 9,238,285,456/45,358
  6. Step 6: Final answer
    x = 203,674.89

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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.