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Finding the Third Proportional to 74,052 and 115,452

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Solution

The third proportional to 74,052 and 115,452 is: 179,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,052 : 115,452 = 115,452 : x
  2. Step 2: Convert to fraction form
    74,052/115,452 = 115,452/x
  3. Step 3: Cross multiply
    74,052x = 115,452 × 115,452
  4. Step 4: Simplify right side
    74,052x = 13,329,164,304
  5. Step 5: Solve for x
    x = 13,329,164,304/74,052
  6. Step 6: Final answer
    x = 179,997.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.