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Finding the Third Proportional to 107,497.13 and 165,376.69

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Solution

The third proportional to 107,497.13 and 165,376.69 is: 254,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,497.13 : 165,376.69 = 165,376.69 : x
  2. Step 2: Convert to fraction form
    107,497.13/165,376.69 = 165,376.69/x
  3. Step 3: Cross multiply
    107,497.13x = 165,376.69 × 165,376.69
  4. Step 4: Simplify right side
    107,497.13x = 27,349,448,768.47
  5. Step 5: Solve for x
    x = 27,349,448,768.47/107,497.13
  6. Step 6: Final answer
    x = 254,420.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.