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Finding the Third Proportional to 78,563 and 169,677

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Solution

The third proportional to 78,563 and 169,677 is: 366,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,563 : 169,677 = 169,677 : x
  2. Step 2: Convert to fraction form
    78,563/169,677 = 169,677/x
  3. Step 3: Cross multiply
    78,563x = 169,677 × 169,677
  4. Step 4: Simplify right side
    78,563x = 28,790,284,329
  5. Step 5: Solve for x
    x = 28,790,284,329/78,563
  6. Step 6: Final answer
    x = 366,461.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.