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Finding the Third Proportional to 77,881.50 and 110,838.38

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Solution

The third proportional to 77,881.50 and 110,838.38 is: 157,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.50 : 110,838.38 = 110,838.38 : x
  2. Step 2: Convert to fraction form
    77,881.50/110,838.38 = 110,838.38/x
  3. Step 3: Cross multiply
    77,881.50x = 110,838.38 × 110,838.38
  4. Step 4: Simplify right side
    77,881.50x = 12,285,145,372.64
  5. Step 5: Solve for x
    x = 12,285,145,372.64/77,881.50
  6. Step 6: Final answer
    x = 157,741.51

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.