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Finding the Third Proportional to 115,467 and 248,124

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Solution

The third proportional to 115,467 and 248,124 is: 533,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,467 : 248,124 = 248,124 : x
  2. Step 2: Convert to fraction form
    115,467/248,124 = 248,124/x
  3. Step 3: Cross multiply
    115,467x = 248,124 × 248,124
  4. Step 4: Simplify right side
    115,467x = 61,565,519,376
  5. Step 5: Solve for x
    x = 61,565,519,376/115,467
  6. Step 6: Final answer
    x = 533,187.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.