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Finding the Third Proportional to 68,968 and 105,459

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Solution

The third proportional to 68,968 and 105,459 is: 161,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,968 : 105,459 = 105,459 : x
  2. Step 2: Convert to fraction form
    68,968/105,459 = 105,459/x
  3. Step 3: Cross multiply
    68,968x = 105,459 × 105,459
  4. Step 4: Simplify right side
    68,968x = 11,121,600,681
  5. Step 5: Solve for x
    x = 11,121,600,681/68,968
  6. Step 6: Final answer
    x = 161,257.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.