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Finding the Third Proportional to 45,378 and 96,246

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Solution

The third proportional to 45,378 and 96,246 is: 204,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,378 : 96,246 = 96,246 : x
  2. Step 2: Convert to fraction form
    45,378/96,246 = 96,246/x
  3. Step 3: Cross multiply
    45,378x = 96,246 × 96,246
  4. Step 4: Simplify right side
    45,378x = 9,263,292,516
  5. Step 5: Solve for x
    x = 9,263,292,516/45,378
  6. Step 6: Final answer
    x = 204,136.20

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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.