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Finding the Third Proportional to 86,285 and 176,752

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Solution

The third proportional to 86,285 and 176,752 is: 362,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,285 : 176,752 = 176,752 : x
  2. Step 2: Convert to fraction form
    86,285/176,752 = 176,752/x
  3. Step 3: Cross multiply
    86,285x = 176,752 × 176,752
  4. Step 4: Simplify right side
    86,285x = 31,241,269,504
  5. Step 5: Solve for x
    x = 31,241,269,504/86,285
  6. Step 6: Final answer
    x = 362,070.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.