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Finding the Third Proportional to 70,083 and 107,172

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Solution

The third proportional to 70,083 and 107,172 is: 163,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,083 : 107,172 = 107,172 : x
  2. Step 2: Convert to fraction form
    70,083/107,172 = 107,172/x
  3. Step 3: Cross multiply
    70,083x = 107,172 × 107,172
  4. Step 4: Simplify right side
    70,083x = 11,485,837,584
  5. Step 5: Solve for x
    x = 11,485,837,584/70,083
  6. Step 6: Final answer
    x = 163,889.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.