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Finding the Third Proportional to 70,252 and 134,024

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Solution

The third proportional to 70,252 and 134,024 is: 255,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,252 : 134,024 = 134,024 : x
  2. Step 2: Convert to fraction form
    70,252/134,024 = 134,024/x
  3. Step 3: Cross multiply
    70,252x = 134,024 × 134,024
  4. Step 4: Simplify right side
    70,252x = 17,962,432,576
  5. Step 5: Solve for x
    x = 17,962,432,576/70,252
  6. Step 6: Final answer
    x = 255,685.71

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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.