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Finding the Third Proportional to 45,496 and 98,760

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Solution

The third proportional to 45,496 and 98,760 is: 214,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,496 : 98,760 = 98,760 : x
  2. Step 2: Convert to fraction form
    45,496/98,760 = 98,760/x
  3. Step 3: Cross multiply
    45,496x = 98,760 × 98,760
  4. Step 4: Simplify right side
    45,496x = 9,753,537,600
  5. Step 5: Solve for x
    x = 9,753,537,600/45,496
  6. Step 6: Final answer
    x = 214,382.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.