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Finding the Third Proportional to 108,536 and 168,040

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Solution

The third proportional to 108,536 and 168,040 is: 260,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,536 : 168,040 = 168,040 : x
  2. Step 2: Convert to fraction form
    108,536/168,040 = 168,040/x
  3. Step 3: Cross multiply
    108,536x = 168,040 × 168,040
  4. Step 4: Simplify right side
    108,536x = 28,237,441,600
  5. Step 5: Solve for x
    x = 28,237,441,600/108,536
  6. Step 6: Final answer
    x = 260,166.60

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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.