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Finding the Third Proportional to 97,576 and 147,131

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Solution

The third proportional to 97,576 and 147,131 is: 221,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,576 : 147,131 = 147,131 : x
  2. Step 2: Convert to fraction form
    97,576/147,131 = 147,131/x
  3. Step 3: Cross multiply
    97,576x = 147,131 × 147,131
  4. Step 4: Simplify right side
    97,576x = 21,647,531,161
  5. Step 5: Solve for x
    x = 21,647,531,161/97,576
  6. Step 6: Final answer
    x = 221,853.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.