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Finding the Third Proportional to 112,750 and 173,364

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Solution

The third proportional to 112,750 and 173,364 is: 266,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,750 : 173,364 = 173,364 : x
  2. Step 2: Convert to fraction form
    112,750/173,364 = 173,364/x
  3. Step 3: Cross multiply
    112,750x = 173,364 × 173,364
  4. Step 4: Simplify right side
    112,750x = 30,055,076,496
  5. Step 5: Solve for x
    x = 30,055,076,496/112,750
  6. Step 6: Final answer
    x = 266,563.87

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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.