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Finding the Third Proportional to 52,858 and 114,211

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Solution

The third proportional to 52,858 and 114,211 is: 246,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,858 : 114,211 = 114,211 : x
  2. Step 2: Convert to fraction form
    52,858/114,211 = 114,211/x
  3. Step 3: Cross multiply
    52,858x = 114,211 × 114,211
  4. Step 4: Simplify right side
    52,858x = 13,044,152,521
  5. Step 5: Solve for x
    x = 13,044,152,521/52,858
  6. Step 6: Final answer
    x = 246,777.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.