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Finding the Third Proportional to 130,041 and 204,047.50

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Solution

The third proportional to 130,041 and 204,047.50 is: 320,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,041 : 204,047.50 = 204,047.50 : x
  2. Step 2: Convert to fraction form
    130,041/204,047.50 = 204,047.50/x
  3. Step 3: Cross multiply
    130,041x = 204,047.50 × 204,047.50
  4. Step 4: Simplify right side
    130,041x = 41,635,382,256.25
  5. Step 5: Solve for x
    x = 41,635,382,256.25/130,041
  6. Step 6: Final answer
    x = 320,171.19

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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.