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Finding the Third Proportional to 56,841.75 and 84,159

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Solution

The third proportional to 56,841.75 and 84,159 is: 124,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,841.75 : 84,159 = 84,159 : x
  2. Step 2: Convert to fraction form
    56,841.75/84,159 = 84,159/x
  3. Step 3: Cross multiply
    56,841.75x = 84,159 × 84,159
  4. Step 4: Simplify right side
    56,841.75x = 7,082,737,281
  5. Step 5: Solve for x
    x = 7,082,737,281/56,841.75
  6. Step 6: Final answer
    x = 124,604.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.