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Finding the Third Proportional to 94,740 and 136,872

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Solution

The third proportional to 94,740 and 136,872 is: 197,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,740 : 136,872 = 136,872 : x
  2. Step 2: Convert to fraction form
    94,740/136,872 = 136,872/x
  3. Step 3: Cross multiply
    94,740x = 136,872 × 136,872
  4. Step 4: Simplify right side
    94,740x = 18,733,944,384
  5. Step 5: Solve for x
    x = 18,733,944,384/94,740
  6. Step 6: Final answer
    x = 197,740.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.