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Finding the Third Proportional to 78,003 and 167,675.63

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Solution

The third proportional to 78,003 and 167,675.63 is: 360,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,003 : 167,675.63 = 167,675.63 : x
  2. Step 2: Convert to fraction form
    78,003/167,675.63 = 167,675.63/x
  3. Step 3: Cross multiply
    78,003x = 167,675.63 × 167,675.63
  4. Step 4: Simplify right side
    78,003x = 28,115,115,219.14
  5. Step 5: Solve for x
    x = 28,115,115,219.14/78,003
  6. Step 6: Final answer
    x = 360,436.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.