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Finding the Third Proportional to 68,339.25 and 147,910.50

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Solution

The third proportional to 68,339.25 and 147,910.50 is: 320,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,339.25 : 147,910.50 = 147,910.50 : x
  2. Step 2: Convert to fraction form
    68,339.25/147,910.50 = 147,910.50/x
  3. Step 3: Cross multiply
    68,339.25x = 147,910.50 × 147,910.50
  4. Step 4: Simplify right side
    68,339.25x = 21,877,516,010.25
  5. Step 5: Solve for x
    x = 21,877,516,010.25/68,339.25
  6. Step 6: Final answer
    x = 320,131.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.