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Finding the Third Proportional to 107,054 and 233,173

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Solution

The third proportional to 107,054 and 233,173 is: 507,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,054 : 233,173 = 233,173 : x
  2. Step 2: Convert to fraction form
    107,054/233,173 = 233,173/x
  3. Step 3: Cross multiply
    107,054x = 233,173 × 233,173
  4. Step 4: Simplify right side
    107,054x = 54,369,647,929
  5. Step 5: Solve for x
    x = 54,369,647,929/107,054
  6. Step 6: Final answer
    x = 507,871.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.