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Finding the Third Proportional to 97,614 and 132,593

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Solution

The third proportional to 97,614 and 132,593 is: 180,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,614 : 132,593 = 132,593 : x
  2. Step 2: Convert to fraction form
    97,614/132,593 = 132,593/x
  3. Step 3: Cross multiply
    97,614x = 132,593 × 132,593
  4. Step 4: Simplify right side
    97,614x = 17,580,903,649
  5. Step 5: Solve for x
    x = 17,580,903,649/97,614
  6. Step 6: Final answer
    x = 180,106.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.