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Finding the Third Proportional to 112,418 and 150,371

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Solution

The third proportional to 112,418 and 150,371 is: 201,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,418 : 150,371 = 150,371 : x
  2. Step 2: Convert to fraction form
    112,418/150,371 = 150,371/x
  3. Step 3: Cross multiply
    112,418x = 150,371 × 150,371
  4. Step 4: Simplify right side
    112,418x = 22,611,437,641
  5. Step 5: Solve for x
    x = 22,611,437,641/112,418
  6. Step 6: Final answer
    x = 201,137.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.