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Finding the Third Proportional to 45,317 and 98,418

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Solution

The third proportional to 45,317 and 98,418 is: 213,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,317 : 98,418 = 98,418 : x
  2. Step 2: Convert to fraction form
    45,317/98,418 = 98,418/x
  3. Step 3: Cross multiply
    45,317x = 98,418 × 98,418
  4. Step 4: Simplify right side
    45,317x = 9,686,102,724
  5. Step 5: Solve for x
    x = 9,686,102,724/45,317
  6. Step 6: Final answer
    x = 213,741.04

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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.