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Finding the Third Proportional to 76,334.25 and 163,151.06

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Solution

The third proportional to 76,334.25 and 163,151.06 is: 348,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,334.25 : 163,151.06 = 163,151.06 : x
  2. Step 2: Convert to fraction form
    76,334.25/163,151.06 = 163,151.06/x
  3. Step 3: Cross multiply
    76,334.25x = 163,151.06 × 163,151.06
  4. Step 4: Simplify right side
    76,334.25x = 26,618,269,194.88
  5. Step 5: Solve for x
    x = 26,618,269,194.88/76,334.25
  6. Step 6: Final answer
    x = 348,706.76

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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.