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Finding the Third Proportional to 52,460 and 111,967

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Solution

The third proportional to 52,460 and 111,967 is: 238,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,460 : 111,967 = 111,967 : x
  2. Step 2: Convert to fraction form
    52,460/111,967 = 111,967/x
  3. Step 3: Cross multiply
    52,460x = 111,967 × 111,967
  4. Step 4: Simplify right side
    52,460x = 12,536,609,089
  5. Step 5: Solve for x
    x = 12,536,609,089/52,460
  6. Step 6: Final answer
    x = 238,974.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.