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Finding the Third Proportional to 97,614 and 132,594

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Solution

The third proportional to 97,614 and 132,594 is: 180,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,614 : 132,594 = 132,594 : x
  2. Step 2: Convert to fraction form
    97,614/132,594 = 132,594/x
  3. Step 3: Cross multiply
    97,614x = 132,594 × 132,594
  4. Step 4: Simplify right side
    97,614x = 17,581,168,836
  5. Step 5: Solve for x
    x = 17,581,168,836/97,614
  6. Step 6: Final answer
    x = 180,109.09

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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.