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Finding the Third Proportional to 97,544 and 145,900

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Solution

The third proportional to 97,544 and 145,900 is: 218,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,544 : 145,900 = 145,900 : x
  2. Step 2: Convert to fraction form
    97,544/145,900 = 145,900/x
  3. Step 3: Cross multiply
    97,544x = 145,900 × 145,900
  4. Step 4: Simplify right side
    97,544x = 21,286,810,000
  5. Step 5: Solve for x
    x = 21,286,810,000/97,544
  6. Step 6: Final answer
    x = 218,227.77

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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.