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Finding the Third Proportional to 103,629.75 and 160,024.13

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Solution

The third proportional to 103,629.75 and 160,024.13 is: 247,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629.75 : 160,024.13 = 160,024.13 : x
  2. Step 2: Convert to fraction form
    103,629.75/160,024.13 = 160,024.13/x
  3. Step 3: Cross multiply
    103,629.75x = 160,024.13 × 160,024.13
  4. Step 4: Simplify right side
    103,629.75x = 25,607,720,582.02
  5. Step 5: Solve for x
    x = 25,607,720,582.02/103,629.75
  6. Step 6: Final answer
    x = 247,107.81

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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.