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Finding the Third Proportional to 43,901.50 and 93,027.50

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Solution

The third proportional to 43,901.50 and 93,027.50 is: 197,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,901.50 : 93,027.50 = 93,027.50 : x
  2. Step 2: Convert to fraction form
    43,901.50/93,027.50 = 93,027.50/x
  3. Step 3: Cross multiply
    43,901.50x = 93,027.50 × 93,027.50
  4. Step 4: Simplify right side
    43,901.50x = 8,654,115,756.25
  5. Step 5: Solve for x
    x = 8,654,115,756.25/43,901.50
  6. Step 6: Final answer
    x = 197,125.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.