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Finding the Third Proportional to 107,394.56 and 162,448.69

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Solution

The third proportional to 107,394.56 and 162,448.69 is: 245,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,394.56 : 162,448.69 = 162,448.69 : x
  2. Step 2: Convert to fraction form
    107,394.56/162,448.69 = 162,448.69/x
  3. Step 3: Cross multiply
    107,394.56x = 162,448.69 × 162,448.69
  4. Step 4: Simplify right side
    107,394.56x = 26,389,576,070.47
  5. Step 5: Solve for x
    x = 26,389,576,070.47/107,394.56
  6. Step 6: Final answer
    x = 245,725.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.