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Finding the Third Proportional to 105,510 and 244,045

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Solution

The third proportional to 105,510 and 244,045 is: 564,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,510 : 244,045 = 244,045 : x
  2. Step 2: Convert to fraction form
    105,510/244,045 = 244,045/x
  3. Step 3: Cross multiply
    105,510x = 244,045 × 244,045
  4. Step 4: Simplify right side
    105,510x = 59,557,962,025
  5. Step 5: Solve for x
    x = 59,557,962,025/105,510
  6. Step 6: Final answer
    x = 564,476.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.