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Finding the Third Proportional to 45,424 and 97,754

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Solution

The third proportional to 45,424 and 97,754 is: 210,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,424 : 97,754 = 97,754 : x
  2. Step 2: Convert to fraction form
    45,424/97,754 = 97,754/x
  3. Step 3: Cross multiply
    45,424x = 97,754 × 97,754
  4. Step 4: Simplify right side
    45,424x = 9,555,844,516
  5. Step 5: Solve for x
    x = 9,555,844,516/45,424
  6. Step 6: Final answer
    x = 210,369.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.