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Finding the Third Proportional to 70,996.50 and 151,465.50

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Solution

The third proportional to 70,996.50 and 151,465.50 is: 323,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,996.50 : 151,465.50 = 151,465.50 : x
  2. Step 2: Convert to fraction form
    70,996.50/151,465.50 = 151,465.50/x
  3. Step 3: Cross multiply
    70,996.50x = 151,465.50 × 151,465.50
  4. Step 4: Simplify right side
    70,996.50x = 22,941,797,690.25
  5. Step 5: Solve for x
    x = 22,941,797,690.25/70,996.50
  6. Step 6: Final answer
    x = 323,139.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.