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Finding the Third Proportional to 46,500 and 100,452

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Solution

The third proportional to 46,500 and 100,452 is: 217,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,500 : 100,452 = 100,452 : x
  2. Step 2: Convert to fraction form
    46,500/100,452 = 100,452/x
  3. Step 3: Cross multiply
    46,500x = 100,452 × 100,452
  4. Step 4: Simplify right side
    46,500x = 10,090,604,304
  5. Step 5: Solve for x
    x = 10,090,604,304/46,500
  6. Step 6: Final answer
    x = 217,002.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.