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Finding the Third Proportional to 98,519.63 and 143,471.25

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Solution

The third proportional to 98,519.63 and 143,471.25 is: 208,932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,519.63 : 143,471.25 = 143,471.25 : x
  2. Step 2: Convert to fraction form
    98,519.63/143,471.25 = 143,471.25/x
  3. Step 3: Cross multiply
    98,519.63x = 143,471.25 × 143,471.25
  4. Step 4: Simplify right side
    98,519.63x = 20,583,999,576.56
  5. Step 5: Solve for x
    x = 20,583,999,576.56/98,519.63
  6. Step 6: Final answer
    x = 208,932.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.