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Finding the Third Proportional to 52,858 and 110,905

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Solution

The third proportional to 52,858 and 110,905 is: 232,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,858 : 110,905 = 110,905 : x
  2. Step 2: Convert to fraction form
    52,858/110,905 = 110,905/x
  3. Step 3: Cross multiply
    52,858x = 110,905 × 110,905
  4. Step 4: Simplify right side
    52,858x = 12,299,919,025
  5. Step 5: Solve for x
    x = 12,299,919,025/52,858
  6. Step 6: Final answer
    x = 232,697.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.