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Finding the Third Proportional to 55,026 and 82,660.50

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Solution

The third proportional to 55,026 and 82,660.50 is: 124,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,026 : 82,660.50 = 82,660.50 : x
  2. Step 2: Convert to fraction form
    55,026/82,660.50 = 82,660.50/x
  3. Step 3: Cross multiply
    55,026x = 82,660.50 × 82,660.50
  4. Step 4: Simplify right side
    55,026x = 6,832,758,260.25
  5. Step 5: Solve for x
    x = 6,832,758,260.25/55,026
  6. Step 6: Final answer
    x = 124,173.27

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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.