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Finding the Third Proportional to 61,454 and 84,103

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Solution

The third proportional to 61,454 and 84,103 is: 115,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,454 : 84,103 = 84,103 : x
  2. Step 2: Convert to fraction form
    61,454/84,103 = 84,103/x
  3. Step 3: Cross multiply
    61,454x = 84,103 × 84,103
  4. Step 4: Simplify right side
    61,454x = 7,073,314,609
  5. Step 5: Solve for x
    x = 7,073,314,609/61,454
  6. Step 6: Final answer
    x = 115,099.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.