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Finding the Third Proportional to 73,283.06 and 159,688.13

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Solution

The third proportional to 73,283.06 and 159,688.13 is: 347,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,283.06 : 159,688.13 = 159,688.13 : x
  2. Step 2: Convert to fraction form
    73,283.06/159,688.13 = 159,688.13/x
  3. Step 3: Cross multiply
    73,283.06x = 159,688.13 × 159,688.13
  4. Step 4: Simplify right side
    73,283.06x = 25,500,297,266.02
  5. Step 5: Solve for x
    x = 25,500,297,266.02/73,283.06
  6. Step 6: Final answer
    x = 347,969.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.