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Finding the Third Proportional to 76,140 and 167,088

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Solution

The third proportional to 76,140 and 167,088 is: 366,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,140 : 167,088 = 167,088 : x
  2. Step 2: Convert to fraction form
    76,140/167,088 = 167,088/x
  3. Step 3: Cross multiply
    76,140x = 167,088 × 167,088
  4. Step 4: Simplify right side
    76,140x = 27,918,399,744
  5. Step 5: Solve for x
    x = 27,918,399,744/76,140
  6. Step 6: Final answer
    x = 366,671.92

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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.