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Finding the Third Proportional to 64,898.50 and 140,813

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Solution

The third proportional to 64,898.50 and 140,813 is: 305,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,898.50 : 140,813 = 140,813 : x
  2. Step 2: Convert to fraction form
    64,898.50/140,813 = 140,813/x
  3. Step 3: Cross multiply
    64,898.50x = 140,813 × 140,813
  4. Step 4: Simplify right side
    64,898.50x = 19,828,300,969
  5. Step 5: Solve for x
    x = 19,828,300,969/64,898.50
  6. Step 6: Final answer
    x = 305,527.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.