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Finding the Third Proportional to 55,462 and 85,336

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Solution

The third proportional to 55,462 and 85,336 is: 131,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,462 : 85,336 = 85,336 : x
  2. Step 2: Convert to fraction form
    55,462/85,336 = 85,336/x
  3. Step 3: Cross multiply
    55,462x = 85,336 × 85,336
  4. Step 4: Simplify right side
    55,462x = 7,282,232,896
  5. Step 5: Solve for x
    x = 7,282,232,896/55,462
  6. Step 6: Final answer
    x = 131,301.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.