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Finding the Third Proportional to 54,569 and 106,897

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Solution

The third proportional to 54,569 and 106,897 is: 209,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,569 : 106,897 = 106,897 : x
  2. Step 2: Convert to fraction form
    54,569/106,897 = 106,897/x
  3. Step 3: Cross multiply
    54,569x = 106,897 × 106,897
  4. Step 4: Simplify right side
    54,569x = 11,426,968,609
  5. Step 5: Solve for x
    x = 11,426,968,609/54,569
  6. Step 6: Final answer
    x = 209,404.03

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.