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Finding the Third Proportional to 67,578.50 and 97,345

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Solution

The third proportional to 67,578.50 and 97,345 is: 140,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,578.50 : 97,345 = 97,345 : x
  2. Step 2: Convert to fraction form
    67,578.50/97,345 = 97,345/x
  3. Step 3: Cross multiply
    67,578.50x = 97,345 × 97,345
  4. Step 4: Simplify right side
    67,578.50x = 9,476,049,025
  5. Step 5: Solve for x
    x = 9,476,049,025/67,578.50
  6. Step 6: Final answer
    x = 140,222.84

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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.