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Finding the Third Proportional to 95,700 and 136,992

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Solution

The third proportional to 95,700 and 136,992 is: 196,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,700 : 136,992 = 136,992 : x
  2. Step 2: Convert to fraction form
    95,700/136,992 = 136,992/x
  3. Step 3: Cross multiply
    95,700x = 136,992 × 136,992
  4. Step 4: Simplify right side
    95,700x = 18,766,808,064
  5. Step 5: Solve for x
    x = 18,766,808,064/95,700
  6. Step 6: Final answer
    x = 196,100.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.