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Finding the Third Proportional to 107,173 and 235,081

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Solution

The third proportional to 107,173 and 235,081 is: 515,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,173 : 235,081 = 235,081 : x
  2. Step 2: Convert to fraction form
    107,173/235,081 = 235,081/x
  3. Step 3: Cross multiply
    107,173x = 235,081 × 235,081
  4. Step 4: Simplify right side
    107,173x = 55,263,076,561
  5. Step 5: Solve for x
    x = 55,263,076,561/107,173
  6. Step 6: Final answer
    x = 515,643.65

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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.