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Finding the Third Proportional to 52,929 and 84,254

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Solution

The third proportional to 52,929 and 84,254 is: 134,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,929 : 84,254 = 84,254 : x
  2. Step 2: Convert to fraction form
    52,929/84,254 = 84,254/x
  3. Step 3: Cross multiply
    52,929x = 84,254 × 84,254
  4. Step 4: Simplify right side
    52,929x = 7,098,736,516
  5. Step 5: Solve for x
    x = 7,098,736,516/52,929
  6. Step 6: Final answer
    x = 134,118.09

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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.