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Finding the Third Proportional to 112,734 and 173,340

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Solution

The third proportional to 112,734 and 173,340 is: 266,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,734 : 173,340 = 173,340 : x
  2. Step 2: Convert to fraction form
    112,734/173,340 = 173,340/x
  3. Step 3: Cross multiply
    112,734x = 173,340 × 173,340
  4. Step 4: Simplify right side
    112,734x = 30,046,755,600
  5. Step 5: Solve for x
    x = 30,046,755,600/112,734
  6. Step 6: Final answer
    x = 266,527.89

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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.