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Finding the Third Proportional to 84,996 and 187,152

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Solution

The third proportional to 84,996 and 187,152 is: 412,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,996 : 187,152 = 187,152 : x
  2. Step 2: Convert to fraction form
    84,996/187,152 = 187,152/x
  3. Step 3: Cross multiply
    84,996x = 187,152 × 187,152
  4. Step 4: Simplify right side
    84,996x = 35,025,871,104
  5. Step 5: Solve for x
    x = 35,025,871,104/84,996
  6. Step 6: Final answer
    x = 412,088.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.