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Finding the Third Proportional to 45,569 and 96,089

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Solution

The third proportional to 45,569 and 96,089 is: 202,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,569 : 96,089 = 96,089 : x
  2. Step 2: Convert to fraction form
    45,569/96,089 = 96,089/x
  3. Step 3: Cross multiply
    45,569x = 96,089 × 96,089
  4. Step 4: Simplify right side
    45,569x = 9,233,095,921
  5. Step 5: Solve for x
    x = 9,233,095,921/45,569
  6. Step 6: Final answer
    x = 202,617.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.