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Finding the Third Proportional to 51,901 and 73,963

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Solution

The third proportional to 51,901 and 73,963 is: 105,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,901 : 73,963 = 73,963 : x
  2. Step 2: Convert to fraction form
    51,901/73,963 = 73,963/x
  3. Step 3: Cross multiply
    51,901x = 73,963 × 73,963
  4. Step 4: Simplify right side
    51,901x = 5,470,525,369
  5. Step 5: Solve for x
    x = 5,470,525,369/51,901
  6. Step 6: Final answer
    x = 105,403.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.