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Finding the Third Proportional to 45,298 and 96,077

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Solution

The third proportional to 45,298 and 96,077 is: 203,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,298 : 96,077 = 96,077 : x
  2. Step 2: Convert to fraction form
    45,298/96,077 = 96,077/x
  3. Step 3: Cross multiply
    45,298x = 96,077 × 96,077
  4. Step 4: Simplify right side
    45,298x = 9,230,789,929
  5. Step 5: Solve for x
    x = 9,230,789,929/45,298
  6. Step 6: Final answer
    x = 203,779.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.