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Finding the Third Proportional to 97,548 and 145,906

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Solution

The third proportional to 97,548 and 145,906 is: 218,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,548 : 145,906 = 145,906 : x
  2. Step 2: Convert to fraction form
    97,548/145,906 = 145,906/x
  3. Step 3: Cross multiply
    97,548x = 145,906 × 145,906
  4. Step 4: Simplify right side
    97,548x = 21,288,560,836
  5. Step 5: Solve for x
    x = 21,288,560,836/97,548
  6. Step 6: Final answer
    x = 218,236.77

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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.