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Finding the Third Proportional to 116,649 and 168,603.75

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Solution

The third proportional to 116,649 and 168,603.75 is: 243,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,649 : 168,603.75 = 168,603.75 : x
  2. Step 2: Convert to fraction form
    116,649/168,603.75 = 168,603.75/x
  3. Step 3: Cross multiply
    116,649x = 168,603.75 × 168,603.75
  4. Step 4: Simplify right side
    116,649x = 28,427,224,514.06
  5. Step 5: Solve for x
    x = 28,427,224,514.06/116,649
  6. Step 6: Final answer
    x = 243,698.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.