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Finding the Third Proportional to 101,629.69 and 162,339.19

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Solution

The third proportional to 101,629.69 and 162,339.19 is: 259,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,629.69 : 162,339.19 = 162,339.19 : x
  2. Step 2: Convert to fraction form
    101,629.69/162,339.19 = 162,339.19/x
  3. Step 3: Cross multiply
    101,629.69x = 162,339.19 × 162,339.19
  4. Step 4: Simplify right side
    101,629.69x = 26,354,011,798.16
  5. Step 5: Solve for x
    x = 26,354,011,798.16/101,629.69
  6. Step 6: Final answer
    x = 259,314.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.