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Finding the Third Proportional to 96,134 and 207,060

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Solution

The third proportional to 96,134 and 207,060 is: 445,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,134 : 207,060 = 207,060 : x
  2. Step 2: Convert to fraction form
    96,134/207,060 = 207,060/x
  3. Step 3: Cross multiply
    96,134x = 207,060 × 207,060
  4. Step 4: Simplify right side
    96,134x = 42,873,843,600
  5. Step 5: Solve for x
    x = 42,873,843,600/96,134
  6. Step 6: Final answer
    x = 445,980.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.