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Finding the Third Proportional to 108,592 and 152,920

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Solution

The third proportional to 108,592 and 152,920 is: 215,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,592 : 152,920 = 152,920 : x
  2. Step 2: Convert to fraction form
    108,592/152,920 = 152,920/x
  3. Step 3: Cross multiply
    108,592x = 152,920 × 152,920
  4. Step 4: Simplify right side
    108,592x = 23,384,526,400
  5. Step 5: Solve for x
    x = 23,384,526,400/108,592
  6. Step 6: Final answer
    x = 215,342.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.