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Finding the Third Proportional to 78,537 and 163,698

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Solution

The third proportional to 78,537 and 163,698 is: 341,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,537 : 163,698 = 163,698 : x
  2. Step 2: Convert to fraction form
    78,537/163,698 = 163,698/x
  3. Step 3: Cross multiply
    78,537x = 163,698 × 163,698
  4. Step 4: Simplify right side
    78,537x = 26,797,035,204
  5. Step 5: Solve for x
    x = 26,797,035,204/78,537
  6. Step 6: Final answer
    x = 341,202.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.