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Finding the Third Proportional to 51,994 and 83,733

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Solution

The third proportional to 51,994 and 83,733 is: 134,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,994 : 83,733 = 83,733 : x
  2. Step 2: Convert to fraction form
    51,994/83,733 = 83,733/x
  3. Step 3: Cross multiply
    51,994x = 83,733 × 83,733
  4. Step 4: Simplify right side
    51,994x = 7,011,215,289
  5. Step 5: Solve for x
    x = 7,011,215,289/51,994
  6. Step 6: Final answer
    x = 134,846.62

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.