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Finding the Third Proportional to 103,720.25 and 160,187

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Solution

The third proportional to 103,720.25 and 160,187 is: 247,395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,720.25 : 160,187 = 160,187 : x
  2. Step 2: Convert to fraction form
    103,720.25/160,187 = 160,187/x
  3. Step 3: Cross multiply
    103,720.25x = 160,187 × 160,187
  4. Step 4: Simplify right side
    103,720.25x = 25,659,874,969
  5. Step 5: Solve for x
    x = 25,659,874,969/103,720.25
  6. Step 6: Final answer
    x = 247,395.04

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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.