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Finding the Third Proportional to 47,071.50 and 101,535

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Solution

The third proportional to 47,071.50 and 101,535 is: 219,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,071.50 : 101,535 = 101,535 : x
  2. Step 2: Convert to fraction form
    47,071.50/101,535 = 101,535/x
  3. Step 3: Cross multiply
    47,071.50x = 101,535 × 101,535
  4. Step 4: Simplify right side
    47,071.50x = 10,309,356,225
  5. Step 5: Solve for x
    x = 10,309,356,225/47,071.50
  6. Step 6: Final answer
    x = 219,014.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.