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Finding the Third Proportional to 77,800 and 110,094

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Solution

The third proportional to 77,800 and 110,094 is: 155,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,800 : 110,094 = 110,094 : x
  2. Step 2: Convert to fraction form
    77,800/110,094 = 110,094/x
  3. Step 3: Cross multiply
    77,800x = 110,094 × 110,094
  4. Step 4: Simplify right side
    77,800x = 12,120,688,836
  5. Step 5: Solve for x
    x = 12,120,688,836/77,800
  6. Step 6: Final answer
    x = 155,792.92

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Why These Related Problems?

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