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Finding the Third Proportional to 97,611 and 132,592

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Solution

The third proportional to 97,611 and 132,592 is: 180,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,611 : 132,592 = 132,592 : x
  2. Step 2: Convert to fraction form
    97,611/132,592 = 132,592/x
  3. Step 3: Cross multiply
    97,611x = 132,592 × 132,592
  4. Step 4: Simplify right side
    97,611x = 17,580,638,464
  5. Step 5: Solve for x
    x = 17,580,638,464/97,611
  6. Step 6: Final answer
    x = 180,109.19

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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.