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Finding the Third Proportional to 45,871 and 72,975

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Solution

The third proportional to 45,871 and 72,975 is: 116,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,871 : 72,975 = 72,975 : x
  2. Step 2: Convert to fraction form
    45,871/72,975 = 72,975/x
  3. Step 3: Cross multiply
    45,871x = 72,975 × 72,975
  4. Step 4: Simplify right side
    45,871x = 5,325,350,625
  5. Step 5: Solve for x
    x = 5,325,350,625/45,871
  6. Step 6: Final answer
    x = 116,094.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.