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Finding the Third Proportional to 55,028 and 82,659

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Solution

The third proportional to 55,028 and 82,659 is: 124,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,028 : 82,659 = 82,659 : x
  2. Step 2: Convert to fraction form
    55,028/82,659 = 82,659/x
  3. Step 3: Cross multiply
    55,028x = 82,659 × 82,659
  4. Step 4: Simplify right side
    55,028x = 6,832,510,281
  5. Step 5: Solve for x
    x = 6,832,510,281/55,028
  6. Step 6: Final answer
    x = 124,164.25

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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.