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Finding the Third Proportional to 47,197.50 and 73,666.50

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Solution

The third proportional to 47,197.50 and 73,666.50 is: 114,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,197.50 : 73,666.50 = 73,666.50 : x
  2. Step 2: Convert to fraction form
    47,197.50/73,666.50 = 73,666.50/x
  3. Step 3: Cross multiply
    47,197.50x = 73,666.50 × 73,666.50
  4. Step 4: Simplify right side
    47,197.50x = 5,426,753,222.25
  5. Step 5: Solve for x
    x = 5,426,753,222.25/47,197.50
  6. Step 6: Final answer
    x = 114,979.68

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.