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Finding the Third Proportional to 55,761 and 83,658

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Solution

The third proportional to 55,761 and 83,658 is: 125,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,761 : 83,658 = 83,658 : x
  2. Step 2: Convert to fraction form
    55,761/83,658 = 83,658/x
  3. Step 3: Cross multiply
    55,761x = 83,658 × 83,658
  4. Step 4: Simplify right side
    55,761x = 6,998,660,964
  5. Step 5: Solve for x
    x = 6,998,660,964/55,761
  6. Step 6: Final answer
    x = 125,511.75

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