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Finding the Third Proportional to 52,962 and 74,226

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Solution

The third proportional to 52,962 and 74,226 is: 104,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,962 : 74,226 = 74,226 : x
  2. Step 2: Convert to fraction form
    52,962/74,226 = 74,226/x
  3. Step 3: Cross multiply
    52,962x = 74,226 × 74,226
  4. Step 4: Simplify right side
    52,962x = 5,509,499,076
  5. Step 5: Solve for x
    x = 5,509,499,076/52,962
  6. Step 6: Final answer
    x = 104,027.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.