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Finding the Third Proportional to 52,981 and 110,272

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Solution

The third proportional to 52,981 and 110,272 is: 229,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,981 : 110,272 = 110,272 : x
  2. Step 2: Convert to fraction form
    52,981/110,272 = 110,272/x
  3. Step 3: Cross multiply
    52,981x = 110,272 × 110,272
  4. Step 4: Simplify right side
    52,981x = 12,159,913,984
  5. Step 5: Solve for x
    x = 12,159,913,984/52,981
  6. Step 6: Final answer
    x = 229,514.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.