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Finding the Third Proportional to 70,047.50 and 149,935.75

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Solution

The third proportional to 70,047.50 and 149,935.75 is: 320,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,047.50 : 149,935.75 = 149,935.75 : x
  2. Step 2: Convert to fraction form
    70,047.50/149,935.75 = 149,935.75/x
  3. Step 3: Cross multiply
    70,047.50x = 149,935.75 × 149,935.75
  4. Step 4: Simplify right side
    70,047.50x = 22,480,729,128.06
  5. Step 5: Solve for x
    x = 22,480,729,128.06/70,047.50
  6. Step 6: Final answer
    x = 320,935.50

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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.