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Finding the Third Proportional to 45,772 and 100,292

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Solution

The third proportional to 45,772 and 100,292 is: 219,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,772 : 100,292 = 100,292 : x
  2. Step 2: Convert to fraction form
    45,772/100,292 = 100,292/x
  3. Step 3: Cross multiply
    45,772x = 100,292 × 100,292
  4. Step 4: Simplify right side
    45,772x = 10,058,485,264
  5. Step 5: Solve for x
    x = 10,058,485,264/45,772
  6. Step 6: Final answer
    x = 219,751.93

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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.