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Finding the Third Proportional to 78,477.50 and 167,069

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Solution

The third proportional to 78,477.50 and 167,069 is: 355,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,477.50 : 167,069 = 167,069 : x
  2. Step 2: Convert to fraction form
    78,477.50/167,069 = 167,069/x
  3. Step 3: Cross multiply
    78,477.50x = 167,069 × 167,069
  4. Step 4: Simplify right side
    78,477.50x = 27,912,050,761
  5. Step 5: Solve for x
    x = 27,912,050,761/78,477.50
  6. Step 6: Final answer
    x = 355,669.47

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.