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Finding the Third Proportional to 68,961.75 and 147,764.50

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Solution

The third proportional to 68,961.75 and 147,764.50 is: 316,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,961.75 : 147,764.50 = 147,764.50 : x
  2. Step 2: Convert to fraction form
    68,961.75/147,764.50 = 147,764.50/x
  3. Step 3: Cross multiply
    68,961.75x = 147,764.50 × 147,764.50
  4. Step 4: Simplify right side
    68,961.75x = 21,834,347,460.25
  5. Step 5: Solve for x
    x = 21,834,347,460.25/68,961.75
  6. Step 6: Final answer
    x = 316,615.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.