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Finding the Third Proportional to 112,286 and 173,433

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Solution

The third proportional to 112,286 and 173,433 is: 267,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,286 : 173,433 = 173,433 : x
  2. Step 2: Convert to fraction form
    112,286/173,433 = 173,433/x
  3. Step 3: Cross multiply
    112,286x = 173,433 × 173,433
  4. Step 4: Simplify right side
    112,286x = 30,079,005,489
  5. Step 5: Solve for x
    x = 30,079,005,489/112,286
  6. Step 6: Final answer
    x = 267,878.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.