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Finding the Third Proportional to 72,962 and 156,778

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Solution

The third proportional to 72,962 and 156,778 is: 336,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,962 : 156,778 = 156,778 : x
  2. Step 2: Convert to fraction form
    72,962/156,778 = 156,778/x
  3. Step 3: Cross multiply
    72,962x = 156,778 × 156,778
  4. Step 4: Simplify right side
    72,962x = 24,579,341,284
  5. Step 5: Solve for x
    x = 24,579,341,284/72,962
  6. Step 6: Final answer
    x = 336,878.67

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