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Finding the Third Proportional to 105,293.25 and 248,562

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Solution

The third proportional to 105,293.25 and 248,562 is: 586,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,293.25 : 248,562 = 248,562 : x
  2. Step 2: Convert to fraction form
    105,293.25/248,562 = 248,562/x
  3. Step 3: Cross multiply
    105,293.25x = 248,562 × 248,562
  4. Step 4: Simplify right side
    105,293.25x = 61,783,067,844
  5. Step 5: Solve for x
    x = 61,783,067,844/105,293.25
  6. Step 6: Final answer
    x = 586,771.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.