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Finding the Third Proportional to 55,685 and 117,580

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Solution

The third proportional to 55,685 and 117,580 is: 248,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,685 : 117,580 = 117,580 : x
  2. Step 2: Convert to fraction form
    55,685/117,580 = 117,580/x
  3. Step 3: Cross multiply
    55,685x = 117,580 × 117,580
  4. Step 4: Simplify right side
    55,685x = 13,825,056,400
  5. Step 5: Solve for x
    x = 13,825,056,400/55,685
  6. Step 6: Final answer
    x = 248,272.54

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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.