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Finding the Third Proportional to 71,102.63 and 152,046.75

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Solution

The third proportional to 71,102.63 and 152,046.75 is: 325,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,102.63 : 152,046.75 = 152,046.75 : x
  2. Step 2: Convert to fraction form
    71,102.63/152,046.75 = 152,046.75/x
  3. Step 3: Cross multiply
    71,102.63x = 152,046.75 × 152,046.75
  4. Step 4: Simplify right side
    71,102.63x = 23,118,214,185.56
  5. Step 5: Solve for x
    x = 23,118,214,185.56/71,102.63
  6. Step 6: Final answer
    x = 325,138.69

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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.