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Finding the Third Proportional to 96,130 and 207,051

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Solution

The third proportional to 96,130 and 207,051 is: 445,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,130 : 207,051 = 207,051 : x
  2. Step 2: Convert to fraction form
    96,130/207,051 = 207,051/x
  3. Step 3: Cross multiply
    96,130x = 207,051 × 207,051
  4. Step 4: Simplify right side
    96,130x = 42,870,116,601
  5. Step 5: Solve for x
    x = 42,870,116,601/96,130
  6. Step 6: Final answer
    x = 445,959.81

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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.