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Finding the Third Proportional to 67,453.88 and 97,449.75

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Solution

The third proportional to 67,453.88 and 97,449.75 is: 140,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,453.88 : 97,449.75 = 97,449.75 : x
  2. Step 2: Convert to fraction form
    67,453.88/97,449.75 = 97,449.75/x
  3. Step 3: Cross multiply
    67,453.88x = 97,449.75 × 97,449.75
  4. Step 4: Simplify right side
    67,453.88x = 9,496,453,775.06
  5. Step 5: Solve for x
    x = 9,496,453,775.06/67,453.88
  6. Step 6: Final answer
    x = 140,784.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.