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Finding the Third Proportional to 94,496 and 136,155

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Solution

The third proportional to 94,496 and 136,155 is: 196,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,496 : 136,155 = 136,155 : x
  2. Step 2: Convert to fraction form
    94,496/136,155 = 136,155/x
  3. Step 3: Cross multiply
    94,496x = 136,155 × 136,155
  4. Step 4: Simplify right side
    94,496x = 18,538,184,025
  5. Step 5: Solve for x
    x = 18,538,184,025/94,496
  6. Step 6: Final answer
    x = 196,179.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.