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Finding the Third Proportional to 76,196 and 167,152

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Solution

The third proportional to 76,196 and 167,152 is: 366,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,196 : 167,152 = 167,152 : x
  2. Step 2: Convert to fraction form
    76,196/167,152 = 167,152/x
  3. Step 3: Cross multiply
    76,196x = 167,152 × 167,152
  4. Step 4: Simplify right side
    76,196x = 27,939,791,104
  5. Step 5: Solve for x
    x = 27,939,791,104/76,196
  6. Step 6: Final answer
    x = 366,683.17

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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.