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Finding the Third Proportional to 68,362 and 107,024

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Solution

The third proportional to 68,362 and 107,024 is: 167,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,362 : 107,024 = 107,024 : x
  2. Step 2: Convert to fraction form
    68,362/107,024 = 107,024/x
  3. Step 3: Cross multiply
    68,362x = 107,024 × 107,024
  4. Step 4: Simplify right side
    68,362x = 11,454,136,576
  5. Step 5: Solve for x
    x = 11,454,136,576/68,362
  6. Step 6: Final answer
    x = 167,551.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.