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Finding the Third Proportional to 97,954 and 151,395

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Solution

The third proportional to 97,954 and 151,395 is: 233,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,954 : 151,395 = 151,395 : x
  2. Step 2: Convert to fraction form
    97,954/151,395 = 151,395/x
  3. Step 3: Cross multiply
    97,954x = 151,395 × 151,395
  4. Step 4: Simplify right side
    97,954x = 22,920,446,025
  5. Step 5: Solve for x
    x = 22,920,446,025/97,954
  6. Step 6: Final answer
    x = 233,991.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.