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Finding the Third Proportional to 51,998 and 83,733

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Solution

The third proportional to 51,998 and 83,733 is: 134,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,998 : 83,733 = 83,733 : x
  2. Step 2: Convert to fraction form
    51,998/83,733 = 83,733/x
  3. Step 3: Cross multiply
    51,998x = 83,733 × 83,733
  4. Step 4: Simplify right side
    51,998x = 7,011,215,289
  5. Step 5: Solve for x
    x = 7,011,215,289/51,998
  6. Step 6: Final answer
    x = 134,836.25

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Why These Related Problems?

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