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Finding the Third Proportional to 112,068 and 173,514

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Solution

The third proportional to 112,068 and 173,514 is: 268,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,068 : 173,514 = 173,514 : x
  2. Step 2: Convert to fraction form
    112,068/173,514 = 173,514/x
  3. Step 3: Cross multiply
    112,068x = 173,514 × 173,514
  4. Step 4: Simplify right side
    112,068x = 30,107,108,196
  5. Step 5: Solve for x
    x = 30,107,108,196/112,068
  6. Step 6: Final answer
    x = 268,650.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.