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Finding the Third Proportional to 55,652 and 83,462

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Solution

The third proportional to 55,652 and 83,462 is: 125,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652 : 83,462 = 83,462 : x
  2. Step 2: Convert to fraction form
    55,652/83,462 = 83,462/x
  3. Step 3: Cross multiply
    55,652x = 83,462 × 83,462
  4. Step 4: Simplify right side
    55,652x = 6,965,905,444
  5. Step 5: Solve for x
    x = 6,965,905,444/55,652
  6. Step 6: Final answer
    x = 125,169.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.