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Finding the Third Proportional to 69,696 and 107,136

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Solution

The third proportional to 69,696 and 107,136 is: 164,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,696 : 107,136 = 107,136 : x
  2. Step 2: Convert to fraction form
    69,696/107,136 = 107,136/x
  3. Step 3: Cross multiply
    69,696x = 107,136 × 107,136
  4. Step 4: Simplify right side
    69,696x = 11,478,122,496
  5. Step 5: Solve for x
    x = 11,478,122,496/69,696
  6. Step 6: Final answer
    x = 164,688.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.