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Finding the Third Proportional to 45,093 and 70,368

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Solution

The third proportional to 45,093 and 70,368 is: 109,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,093 : 70,368 = 70,368 : x
  2. Step 2: Convert to fraction form
    45,093/70,368 = 70,368/x
  3. Step 3: Cross multiply
    45,093x = 70,368 × 70,368
  4. Step 4: Simplify right side
    45,093x = 4,951,655,424
  5. Step 5: Solve for x
    x = 4,951,655,424/45,093
  6. Step 6: Final answer
    x = 109,809.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.