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Finding the Third Proportional to 52,929 and 82,309

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Solution

The third proportional to 52,929 and 82,309 is: 127,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,929 : 82,309 = 82,309 : x
  2. Step 2: Convert to fraction form
    52,929/82,309 = 82,309/x
  3. Step 3: Cross multiply
    52,929x = 82,309 × 82,309
  4. Step 4: Simplify right side
    52,929x = 6,774,771,481
  5. Step 5: Solve for x
    x = 6,774,771,481/52,929
  6. Step 6: Final answer
    x = 127,997.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.