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Finding the Third Proportional to 68,812.31 and 106,349.34

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Solution

The third proportional to 68,812.31 and 106,349.34 is: 164,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,812.31 : 106,349.34 = 106,349.34 : x
  2. Step 2: Convert to fraction form
    68,812.31/106,349.34 = 106,349.34/x
  3. Step 3: Cross multiply
    68,812.31x = 106,349.34 × 106,349.34
  4. Step 4: Simplify right side
    68,812.31x = 11,310,182,916.06
  5. Step 5: Solve for x
    x = 11,310,182,916.06/68,812.31
  6. Step 6: Final answer
    x = 164,362.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.