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Finding the Third Proportional to 96,724 and 210,051

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Solution

The third proportional to 96,724 and 210,051 is: 456,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,724 : 210,051 = 210,051 : x
  2. Step 2: Convert to fraction form
    96,724/210,051 = 210,051/x
  3. Step 3: Cross multiply
    96,724x = 210,051 × 210,051
  4. Step 4: Simplify right side
    96,724x = 44,121,422,601
  5. Step 5: Solve for x
    x = 44,121,422,601/96,724
  6. Step 6: Final answer
    x = 456,157.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.