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Finding the Third Proportional to 112,754 and 173,370

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Solution

The third proportional to 112,754 and 173,370 is: 266,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,754 : 173,370 = 173,370 : x
  2. Step 2: Convert to fraction form
    112,754/173,370 = 173,370/x
  3. Step 3: Cross multiply
    112,754x = 173,370 × 173,370
  4. Step 4: Simplify right side
    112,754x = 30,057,156,900
  5. Step 5: Solve for x
    x = 30,057,156,900/112,754
  6. Step 6: Final answer
    x = 266,572.87

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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.