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Finding the Third Proportional to 45,264 and 99,276

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Solution

The third proportional to 45,264 and 99,276 is: 217,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,264 : 99,276 = 99,276 : x
  2. Step 2: Convert to fraction form
    45,264/99,276 = 99,276/x
  3. Step 3: Cross multiply
    45,264x = 99,276 × 99,276
  4. Step 4: Simplify right side
    45,264x = 9,855,724,176
  5. Step 5: Solve for x
    x = 9,855,724,176/45,264
  6. Step 6: Final answer
    x = 217,738.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.