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Finding the Third Proportional to 70,036.50 and 149,914.50

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Solution

The third proportional to 70,036.50 and 149,914.50 is: 320,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,036.50 : 149,914.50 = 149,914.50 : x
  2. Step 2: Convert to fraction form
    70,036.50/149,914.50 = 149,914.50/x
  3. Step 3: Cross multiply
    70,036.50x = 149,914.50 × 149,914.50
  4. Step 4: Simplify right side
    70,036.50x = 22,474,357,310.25
  5. Step 5: Solve for x
    x = 22,474,357,310.25/70,036.50
  6. Step 6: Final answer
    x = 320,894.92

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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.