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Finding the Third Proportional to 78,060 and 167,964

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Solution

The third proportional to 78,060 and 167,964 is: 361,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,060 : 167,964 = 167,964 : x
  2. Step 2: Convert to fraction form
    78,060/167,964 = 167,964/x
  3. Step 3: Cross multiply
    78,060x = 167,964 × 167,964
  4. Step 4: Simplify right side
    78,060x = 28,211,905,296
  5. Step 5: Solve for x
    x = 28,211,905,296/78,060
  6. Step 6: Final answer
    x = 361,413.08

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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.