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Finding the Third Proportional to 51,278 and 109,106

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Solution

The third proportional to 51,278 and 109,106 is: 232,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,278 : 109,106 = 109,106 : x
  2. Step 2: Convert to fraction form
    51,278/109,106 = 109,106/x
  3. Step 3: Cross multiply
    51,278x = 109,106 × 109,106
  4. Step 4: Simplify right side
    51,278x = 11,904,119,236
  5. Step 5: Solve for x
    x = 11,904,119,236/51,278
  6. Step 6: Final answer
    x = 232,148.66

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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.