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Finding the Third Proportional to 52,996 and 74,278

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Solution

The third proportional to 52,996 and 74,278 is: 104,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,996 : 74,278 = 74,278 : x
  2. Step 2: Convert to fraction form
    52,996/74,278 = 74,278/x
  3. Step 3: Cross multiply
    52,996x = 74,278 × 74,278
  4. Step 4: Simplify right side
    52,996x = 5,517,221,284
  5. Step 5: Solve for x
    x = 5,517,221,284/52,996
  6. Step 6: Final answer
    x = 104,106.37

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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.