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Finding the Third Proportional to 68,250 and 105,291

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Solution

The third proportional to 68,250 and 105,291 is: 162,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,250 : 105,291 = 105,291 : x
  2. Step 2: Convert to fraction form
    68,250/105,291 = 105,291/x
  3. Step 3: Cross multiply
    68,250x = 105,291 × 105,291
  4. Step 4: Simplify right side
    68,250x = 11,086,194,681
  5. Step 5: Solve for x
    x = 11,086,194,681/68,250
  6. Step 6: Final answer
    x = 162,435.09

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