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Finding the Third Proportional to 130,042 and 204,048.50

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Solution

The third proportional to 130,042 and 204,048.50 is: 320,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,042 : 204,048.50 = 204,048.50 : x
  2. Step 2: Convert to fraction form
    130,042/204,048.50 = 204,048.50/x
  3. Step 3: Cross multiply
    130,042x = 204,048.50 × 204,048.50
  4. Step 4: Simplify right side
    130,042x = 41,635,790,352.25
  5. Step 5: Solve for x
    x = 41,635,790,352.25/130,042
  6. Step 6: Final answer
    x = 320,171.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.