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Finding the Third Proportional to 68,416 and 105,056

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Solution

The third proportional to 68,416 and 105,056 is: 161,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,416 : 105,056 = 105,056 : x
  2. Step 2: Convert to fraction form
    68,416/105,056 = 105,056/x
  3. Step 3: Cross multiply
    68,416x = 105,056 × 105,056
  4. Step 4: Simplify right side
    68,416x = 11,036,763,136
  5. Step 5: Solve for x
    x = 11,036,763,136/68,416
  6. Step 6: Final answer
    x = 161,318.45

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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.