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Finding the Third Proportional to 94,734 and 136,863

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Solution

The third proportional to 94,734 and 136,863 is: 197,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,734 : 136,863 = 136,863 : x
  2. Step 2: Convert to fraction form
    94,734/136,863 = 136,863/x
  3. Step 3: Cross multiply
    94,734x = 136,863 × 136,863
  4. Step 4: Simplify right side
    94,734x = 18,731,480,769
  5. Step 5: Solve for x
    x = 18,731,480,769/94,734
  6. Step 6: Final answer
    x = 197,727.12

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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.