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Finding the Third Proportional to 83,764 and 110,094

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Solution

The third proportional to 83,764 and 110,094 is: 144,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764 : 110,094 = 110,094 : x
  2. Step 2: Convert to fraction form
    83,764/110,094 = 110,094/x
  3. Step 3: Cross multiply
    83,764x = 110,094 × 110,094
  4. Step 4: Simplify right side
    83,764x = 12,120,688,836
  5. Step 5: Solve for x
    x = 12,120,688,836/83,764
  6. Step 6: Final answer
    x = 144,700.45

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.