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Finding the Third Proportional to 44,922 and 70,259

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Solution

The third proportional to 44,922 and 70,259 is: 109,886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,922 : 70,259 = 70,259 : x
  2. Step 2: Convert to fraction form
    44,922/70,259 = 70,259/x
  3. Step 3: Cross multiply
    44,922x = 70,259 × 70,259
  4. Step 4: Simplify right side
    44,922x = 4,936,327,081
  5. Step 5: Solve for x
    x = 4,936,327,081/44,922
  6. Step 6: Final answer
    x = 109,886.63

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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.