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Finding the Third Proportional to 45,997 and 69,223.50

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Solution

The third proportional to 45,997 and 69,223.50 is: 104,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,997 : 69,223.50 = 69,223.50 : x
  2. Step 2: Convert to fraction form
    45,997/69,223.50 = 69,223.50/x
  3. Step 3: Cross multiply
    45,997x = 69,223.50 × 69,223.50
  4. Step 4: Simplify right side
    45,997x = 4,791,892,952.25
  5. Step 5: Solve for x
    x = 4,791,892,952.25/45,997
  6. Step 6: Final answer
    x = 104,178.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.