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Finding the Third Proportional to 97,491 and 210,975

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Solution

The third proportional to 97,491 and 210,975 is: 456,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,491 : 210,975 = 210,975 : x
  2. Step 2: Convert to fraction form
    97,491/210,975 = 210,975/x
  3. Step 3: Cross multiply
    97,491x = 210,975 × 210,975
  4. Step 4: Simplify right side
    97,491x = 44,510,450,625
  5. Step 5: Solve for x
    x = 44,510,450,625/97,491
  6. Step 6: Final answer
    x = 456,559.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.