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Finding the Third Proportional to 45,854 and 100,455

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Solution

The third proportional to 45,854 and 100,455 is: 220,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,854 : 100,455 = 100,455 : x
  2. Step 2: Convert to fraction form
    45,854/100,455 = 100,455/x
  3. Step 3: Cross multiply
    45,854x = 100,455 × 100,455
  4. Step 4: Simplify right side
    45,854x = 10,091,207,025
  5. Step 5: Solve for x
    x = 10,091,207,025/45,854
  6. Step 6: Final answer
    x = 220,072.56

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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.