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Finding the Third Proportional to 45,376 and 96,240

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Solution

The third proportional to 45,376 and 96,240 is: 204,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,376 : 96,240 = 96,240 : x
  2. Step 2: Convert to fraction form
    45,376/96,240 = 96,240/x
  3. Step 3: Cross multiply
    45,376x = 96,240 × 96,240
  4. Step 4: Simplify right side
    45,376x = 9,262,137,600
  5. Step 5: Solve for x
    x = 9,262,137,600/45,376
  6. Step 6: Final answer
    x = 204,119.75

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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.