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Finding the Third Proportional to 103,627.13 and 160,021.69

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Solution

The third proportional to 103,627.13 and 160,021.69 is: 247,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,627.13 : 160,021.69 = 160,021.69 : x
  2. Step 2: Convert to fraction form
    103,627.13/160,021.69 = 160,021.69/x
  3. Step 3: Cross multiply
    103,627.13x = 160,021.69 × 160,021.69
  4. Step 4: Simplify right side
    103,627.13x = 25,606,940,470.35
  5. Step 5: Solve for x
    x = 25,606,940,470.35/103,627.13
  6. Step 6: Final answer
    x = 247,106.54

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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.