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Finding the Third Proportional to 52,126 and 83,929

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Solution

The third proportional to 52,126 and 83,929 is: 135,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,126 : 83,929 = 83,929 : x
  2. Step 2: Convert to fraction form
    52,126/83,929 = 83,929/x
  3. Step 3: Cross multiply
    52,126x = 83,929 × 83,929
  4. Step 4: Simplify right side
    52,126x = 7,044,077,041
  5. Step 5: Solve for x
    x = 7,044,077,041/52,126
  6. Step 6: Final answer
    x = 135,135.58

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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.