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Finding the Third Proportional to 105,369.75 and 248,729.63

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Solution

The third proportional to 105,369.75 and 248,729.63 is: 587,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,369.75 : 248,729.63 = 248,729.63 : x
  2. Step 2: Convert to fraction form
    105,369.75/248,729.63 = 248,729.63/x
  3. Step 3: Cross multiply
    105,369.75x = 248,729.63 × 248,729.63
  4. Step 4: Simplify right side
    105,369.75x = 61,866,426,352.64
  5. Step 5: Solve for x
    x = 61,866,426,352.64/105,369.75
  6. Step 6: Final answer
    x = 587,136.50

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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.