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Finding the Third Proportional to 55,532 and 85,997

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Solution

The third proportional to 55,532 and 85,997 is: 133,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,532 : 85,997 = 85,997 : x
  2. Step 2: Convert to fraction form
    55,532/85,997 = 85,997/x
  3. Step 3: Cross multiply
    55,532x = 85,997 × 85,997
  4. Step 4: Simplify right side
    55,532x = 7,395,484,009
  5. Step 5: Solve for x
    x = 7,395,484,009/55,532
  6. Step 6: Final answer
    x = 133,175.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.