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Finding the Third Proportional to 70,248 and 134,016

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Solution

The third proportional to 70,248 and 134,016 is: 255,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,248 : 134,016 = 134,016 : x
  2. Step 2: Convert to fraction form
    70,248/134,016 = 134,016/x
  3. Step 3: Cross multiply
    70,248x = 134,016 × 134,016
  4. Step 4: Simplify right side
    70,248x = 17,960,288,256
  5. Step 5: Solve for x
    x = 17,960,288,256/70,248
  6. Step 6: Final answer
    x = 255,669.75

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.