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Finding the Third Proportional to 79,477 and 114,928

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Solution

The third proportional to 79,477 and 114,928 is: 166,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,477 : 114,928 = 114,928 : x
  2. Step 2: Convert to fraction form
    79,477/114,928 = 114,928/x
  3. Step 3: Cross multiply
    79,477x = 114,928 × 114,928
  4. Step 4: Simplify right side
    79,477x = 13,208,445,184
  5. Step 5: Solve for x
    x = 13,208,445,184/79,477
  6. Step 6: Final answer
    x = 166,192.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.