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Finding the Third Proportional to 55,084 and 74,322

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Solution

The third proportional to 55,084 and 74,322 is: 100,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,084 : 74,322 = 74,322 : x
  2. Step 2: Convert to fraction form
    55,084/74,322 = 74,322/x
  3. Step 3: Cross multiply
    55,084x = 74,322 × 74,322
  4. Step 4: Simplify right side
    55,084x = 5,523,759,684
  5. Step 5: Solve for x
    x = 5,523,759,684/55,084
  6. Step 6: Final answer
    x = 100,278.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.