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Finding the Third Proportional to 97,198 and 152,146

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Solution

The third proportional to 97,198 and 152,146 is: 238,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,198 : 152,146 = 152,146 : x
  2. Step 2: Convert to fraction form
    97,198/152,146 = 152,146/x
  3. Step 3: Cross multiply
    97,198x = 152,146 × 152,146
  4. Step 4: Simplify right side
    97,198x = 23,148,405,316
  5. Step 5: Solve for x
    x = 23,148,405,316/97,198
  6. Step 6: Final answer
    x = 238,157.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.