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Finding the Third Proportional to 101,565 and 220,077

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Solution

The third proportional to 101,565 and 220,077 is: 476,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,565 : 220,077 = 220,077 : x
  2. Step 2: Convert to fraction form
    101,565/220,077 = 220,077/x
  3. Step 3: Cross multiply
    101,565x = 220,077 × 220,077
  4. Step 4: Simplify right side
    101,565x = 48,433,885,929
  5. Step 5: Solve for x
    x = 48,433,885,929/101,565
  6. Step 6: Final answer
    x = 476,875.75

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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.