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Finding the Third Proportional to 44,107.50 and 90,159

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Solution

The third proportional to 44,107.50 and 90,159 is: 184,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,107.50 : 90,159 = 90,159 : x
  2. Step 2: Convert to fraction form
    44,107.50/90,159 = 90,159/x
  3. Step 3: Cross multiply
    44,107.50x = 90,159 × 90,159
  4. Step 4: Simplify right side
    44,107.50x = 8,128,645,281
  5. Step 5: Solve for x
    x = 8,128,645,281/44,107.50
  6. Step 6: Final answer
    x = 184,291.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.