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Finding the Third Proportional to 52,963 and 74,247

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Solution

The third proportional to 52,963 and 74,247 is: 104,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,963 : 74,247 = 74,247 : x
  2. Step 2: Convert to fraction form
    52,963/74,247 = 74,247/x
  3. Step 3: Cross multiply
    52,963x = 74,247 × 74,247
  4. Step 4: Simplify right side
    52,963x = 5,512,617,009
  5. Step 5: Solve for x
    x = 5,512,617,009/52,963
  6. Step 6: Final answer
    x = 104,084.30

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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.