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Finding the Third Proportional to 86,176 and 180,160

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Solution

The third proportional to 86,176 and 180,160 is: 376,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,176 : 180,160 = 180,160 : x
  2. Step 2: Convert to fraction form
    86,176/180,160 = 180,160/x
  3. Step 3: Cross multiply
    86,176x = 180,160 × 180,160
  4. Step 4: Simplify right side
    86,176x = 32,457,625,600
  5. Step 5: Solve for x
    x = 32,457,625,600/86,176
  6. Step 6: Final answer
    x = 376,643.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.