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Finding the Third Proportional to 78,202 and 168,563

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Solution

The third proportional to 78,202 and 168,563 is: 363,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202 : 168,563 = 168,563 : x
  2. Step 2: Convert to fraction form
    78,202/168,563 = 168,563/x
  3. Step 3: Cross multiply
    78,202x = 168,563 × 168,563
  4. Step 4: Simplify right side
    78,202x = 28,413,484,969
  5. Step 5: Solve for x
    x = 28,413,484,969/78,202
  6. Step 6: Final answer
    x = 363,334.51

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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.