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Finding the Third Proportional to 49,014 and 107,363

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Solution

The third proportional to 49,014 and 107,363 is: 235,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,014 : 107,363 = 107,363 : x
  2. Step 2: Convert to fraction form
    49,014/107,363 = 107,363/x
  3. Step 3: Cross multiply
    49,014x = 107,363 × 107,363
  4. Step 4: Simplify right side
    49,014x = 11,526,813,769
  5. Step 5: Solve for x
    x = 11,526,813,769/49,014
  6. Step 6: Final answer
    x = 235,173.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.