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Finding the Third Proportional to 109,354.50 and 158,037.75

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Solution

The third proportional to 109,354.50 and 158,037.75 is: 228,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,354.50 : 158,037.75 = 158,037.75 : x
  2. Step 2: Convert to fraction form
    109,354.50/158,037.75 = 158,037.75/x
  3. Step 3: Cross multiply
    109,354.50x = 158,037.75 × 158,037.75
  4. Step 4: Simplify right side
    109,354.50x = 24,975,930,425.06
  5. Step 5: Solve for x
    x = 24,975,930,425.06/109,354.50
  6. Step 6: Final answer
    x = 228,394.17

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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.