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Finding the Third Proportional to 108,522 and 168,017

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Solution

The third proportional to 108,522 and 168,017 is: 260,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,522 : 168,017 = 168,017 : x
  2. Step 2: Convert to fraction form
    108,522/168,017 = 168,017/x
  3. Step 3: Cross multiply
    108,522x = 168,017 × 168,017
  4. Step 4: Simplify right side
    108,522x = 28,229,712,289
  5. Step 5: Solve for x
    x = 28,229,712,289/108,522
  6. Step 6: Final answer
    x = 260,128.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.