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Finding the Third Proportional to 55,782 and 114,281

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Solution

The third proportional to 55,782 and 114,281 is: 234,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,782 : 114,281 = 114,281 : x
  2. Step 2: Convert to fraction form
    55,782/114,281 = 114,281/x
  3. Step 3: Cross multiply
    55,782x = 114,281 × 114,281
  4. Step 4: Simplify right side
    55,782x = 13,060,146,961
  5. Step 5: Solve for x
    x = 13,060,146,961/55,782
  6. Step 6: Final answer
    x = 234,128.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.