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Finding the Third Proportional to 97,018 and 145,149

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Solution

The third proportional to 97,018 and 145,149 is: 217,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,018 : 145,149 = 145,149 : x
  2. Step 2: Convert to fraction form
    97,018/145,149 = 145,149/x
  3. Step 3: Cross multiply
    97,018x = 145,149 × 145,149
  4. Step 4: Simplify right side
    97,018x = 21,068,232,201
  5. Step 5: Solve for x
    x = 21,068,232,201/97,018
  6. Step 6: Final answer
    x = 217,157.97

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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.