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Finding the Third Proportional to 102,745.69 and 161,218.13

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Solution

The third proportional to 102,745.69 and 161,218.13 is: 252,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,745.69 : 161,218.13 = 161,218.13 : x
  2. Step 2: Convert to fraction form
    102,745.69/161,218.13 = 161,218.13/x
  3. Step 3: Cross multiply
    102,745.69x = 161,218.13 × 161,218.13
  4. Step 4: Simplify right side
    102,745.69x = 25,991,283,828.52
  5. Step 5: Solve for x
    x = 25,991,283,828.52/102,745.69
  6. Step 6: Final answer
    x = 252,967.15

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Why These Related Problems?

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