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Finding the Third Proportional to 113,052 and 171,048

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Solution

The third proportional to 113,052 and 171,048 is: 258,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,052 : 171,048 = 171,048 : x
  2. Step 2: Convert to fraction form
    113,052/171,048 = 171,048/x
  3. Step 3: Cross multiply
    113,052x = 171,048 × 171,048
  4. Step 4: Simplify right side
    113,052x = 29,257,418,304
  5. Step 5: Solve for x
    x = 29,257,418,304/113,052
  6. Step 6: Final answer
    x = 258,796.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.