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Finding the Third Proportional to 78,242 and 168,928

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Solution

The third proportional to 78,242 and 168,928 is: 364,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242 : 168,928 = 168,928 : x
  2. Step 2: Convert to fraction form
    78,242/168,928 = 168,928/x
  3. Step 3: Cross multiply
    78,242x = 168,928 × 168,928
  4. Step 4: Simplify right side
    78,242x = 28,536,669,184
  5. Step 5: Solve for x
    x = 28,536,669,184/78,242
  6. Step 6: Final answer
    x = 364,723.16

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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.