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Finding the Third Proportional to 68,890.50 and 105,386.06

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Solution

The third proportional to 68,890.50 and 105,386.06 is: 161,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,890.50 : 105,386.06 = 105,386.06 : x
  2. Step 2: Convert to fraction form
    68,890.50/105,386.06 = 105,386.06/x
  3. Step 3: Cross multiply
    68,890.50x = 105,386.06 × 105,386.06
  4. Step 4: Simplify right side
    68,890.50x = 11,106,222,169.25
  5. Step 5: Solve for x
    x = 11,106,222,169.25/68,890.50
  6. Step 6: Final answer
    x = 161,215.58

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