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Finding the Third Proportional to 112,760 and 173,376

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Solution

The third proportional to 112,760 and 173,376 is: 266,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,760 : 173,376 = 173,376 : x
  2. Step 2: Convert to fraction form
    112,760/173,376 = 173,376/x
  3. Step 3: Cross multiply
    112,760x = 173,376 × 173,376
  4. Step 4: Simplify right side
    112,760x = 30,059,237,376
  5. Step 5: Solve for x
    x = 30,059,237,376/112,760
  6. Step 6: Final answer
    x = 266,577.13

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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.