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Finding the Third Proportional to 97,609 and 132,588

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Solution

The third proportional to 97,609 and 132,588 is: 180,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,609 : 132,588 = 132,588 : x
  2. Step 2: Convert to fraction form
    97,609/132,588 = 132,588/x
  3. Step 3: Cross multiply
    97,609x = 132,588 × 132,588
  4. Step 4: Simplify right side
    97,609x = 17,579,577,744
  5. Step 5: Solve for x
    x = 17,579,577,744/97,609
  6. Step 6: Final answer
    x = 180,102.02

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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.