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Finding the Third Proportional to 52,982 and 110,316

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Solution

The third proportional to 52,982 and 110,316 is: 229,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982 : 110,316 = 110,316 : x
  2. Step 2: Convert to fraction form
    52,982/110,316 = 110,316/x
  3. Step 3: Cross multiply
    52,982x = 110,316 × 110,316
  4. Step 4: Simplify right side
    52,982x = 12,169,619,856
  5. Step 5: Solve for x
    x = 12,169,619,856/52,982
  6. Step 6: Final answer
    x = 229,693.48

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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.