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Finding the Third Proportional to 86,574 and 189,168

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Solution

The third proportional to 86,574 and 189,168 is: 413,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,574 : 189,168 = 189,168 : x
  2. Step 2: Convert to fraction form
    86,574/189,168 = 189,168/x
  3. Step 3: Cross multiply
    86,574x = 189,168 × 189,168
  4. Step 4: Simplify right side
    86,574x = 35,784,532,224
  5. Step 5: Solve for x
    x = 35,784,532,224/86,574
  6. Step 6: Final answer
    x = 413,340.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.