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Finding the Third Proportional to 52,931 and 84,257

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Solution

The third proportional to 52,931 and 84,257 is: 134,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,931 : 84,257 = 84,257 : x
  2. Step 2: Convert to fraction form
    52,931/84,257 = 84,257/x
  3. Step 3: Cross multiply
    52,931x = 84,257 × 84,257
  4. Step 4: Simplify right side
    52,931x = 7,099,242,049
  5. Step 5: Solve for x
    x = 7,099,242,049/52,931
  6. Step 6: Final answer
    x = 134,122.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.