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Finding the Third Proportional to 45,458 and 96,460

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Solution

The third proportional to 45,458 and 96,460 is: 204,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,458 : 96,460 = 96,460 : x
  2. Step 2: Convert to fraction form
    45,458/96,460 = 96,460/x
  3. Step 3: Cross multiply
    45,458x = 96,460 × 96,460
  4. Step 4: Simplify right side
    45,458x = 9,304,531,600
  5. Step 5: Solve for x
    x = 9,304,531,600/45,458
  6. Step 6: Final answer
    x = 204,684.14

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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.