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Finding the Third Proportional to 46,754 and 101,434

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Solution

The third proportional to 46,754 and 101,434 is: 220,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,754 : 101,434 = 101,434 : x
  2. Step 2: Convert to fraction form
    46,754/101,434 = 101,434/x
  3. Step 3: Cross multiply
    46,754x = 101,434 × 101,434
  4. Step 4: Simplify right side
    46,754x = 10,288,856,356
  5. Step 5: Solve for x
    x = 10,288,856,356/46,754
  6. Step 6: Final answer
    x = 220,063.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.