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Finding the Third Proportional to 51,128 and 109,363

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Solution

The third proportional to 51,128 and 109,363 is: 233,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,128 : 109,363 = 109,363 : x
  2. Step 2: Convert to fraction form
    51,128/109,363 = 109,363/x
  3. Step 3: Cross multiply
    51,128x = 109,363 × 109,363
  4. Step 4: Simplify right side
    51,128x = 11,960,265,769
  5. Step 5: Solve for x
    x = 11,960,265,769/51,128
  6. Step 6: Final answer
    x = 233,927.90

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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.