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Finding the Third Proportional to 46,461 and 100,374

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Solution

The third proportional to 46,461 and 100,374 is: 216,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,461 : 100,374 = 100,374 : x
  2. Step 2: Convert to fraction form
    46,461/100,374 = 100,374/x
  3. Step 3: Cross multiply
    46,461x = 100,374 × 100,374
  4. Step 4: Simplify right side
    46,461x = 10,074,939,876
  5. Step 5: Solve for x
    x = 10,074,939,876/46,461
  6. Step 6: Final answer
    x = 216,847.25

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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.