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Finding the Third Proportional to 43,548 and 61,137

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Solution

The third proportional to 43,548 and 61,137 is: 85,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,548 : 61,137 = 61,137 : x
  2. Step 2: Convert to fraction form
    43,548/61,137 = 61,137/x
  3. Step 3: Cross multiply
    43,548x = 61,137 × 61,137
  4. Step 4: Simplify right side
    43,548x = 3,737,732,769
  5. Step 5: Solve for x
    x = 3,737,732,769/43,548
  6. Step 6: Final answer
    x = 85,830.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.