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Finding the Third Proportional to 113,734 and 248,972

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Solution

The third proportional to 113,734 and 248,972 is: 545,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,734 : 248,972 = 248,972 : x
  2. Step 2: Convert to fraction form
    113,734/248,972 = 248,972/x
  3. Step 3: Cross multiply
    113,734x = 248,972 × 248,972
  4. Step 4: Simplify right side
    113,734x = 61,987,056,784
  5. Step 5: Solve for x
    x = 61,987,056,784/113,734
  6. Step 6: Final answer
    x = 545,017.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.