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Finding the Third Proportional to 52,734 and 81,429

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Solution

The third proportional to 52,734 and 81,429 is: 125,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,734 : 81,429 = 81,429 : x
  2. Step 2: Convert to fraction form
    52,734/81,429 = 81,429/x
  3. Step 3: Cross multiply
    52,734x = 81,429 × 81,429
  4. Step 4: Simplify right side
    52,734x = 6,630,682,041
  5. Step 5: Solve for x
    x = 6,630,682,041/52,734
  6. Step 6: Final answer
    x = 125,738.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.