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Finding the Third Proportional to 51,125 and 109,358

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Solution

The third proportional to 51,125 and 109,358 is: 233,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,125 : 109,358 = 109,358 : x
  2. Step 2: Convert to fraction form
    51,125/109,358 = 109,358/x
  3. Step 3: Cross multiply
    51,125x = 109,358 × 109,358
  4. Step 4: Simplify right side
    51,125x = 11,959,172,164
  5. Step 5: Solve for x
    x = 11,959,172,164/51,125
  6. Step 6: Final answer
    x = 233,920.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.