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Finding the Third Proportional to 105,108 and 243,078

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Solution

The third proportional to 105,108 and 243,078 is: 562,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,108 : 243,078 = 243,078 : x
  2. Step 2: Convert to fraction form
    105,108/243,078 = 243,078/x
  3. Step 3: Cross multiply
    105,108x = 243,078 × 243,078
  4. Step 4: Simplify right side
    105,108x = 59,086,914,084
  5. Step 5: Solve for x
    x = 59,086,914,084/105,108
  6. Step 6: Final answer
    x = 562,154.30

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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.