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Finding the Third Proportional to 46,472 and 110,420

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Solution

The third proportional to 46,472 and 110,420 is: 262,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,472 : 110,420 = 110,420 : x
  2. Step 2: Convert to fraction form
    46,472/110,420 = 110,420/x
  3. Step 3: Cross multiply
    46,472x = 110,420 × 110,420
  4. Step 4: Simplify right side
    46,472x = 12,192,576,400
  5. Step 5: Solve for x
    x = 12,192,576,400/46,472
  6. Step 6: Final answer
    x = 262,363.93

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.