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Finding the Third Proportional to 56,106 and 85,104

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Solution

The third proportional to 56,106 and 85,104 is: 129,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,106 : 85,104 = 85,104 : x
  2. Step 2: Convert to fraction form
    56,106/85,104 = 85,104/x
  3. Step 3: Cross multiply
    56,106x = 85,104 × 85,104
  4. Step 4: Simplify right side
    56,106x = 7,242,690,816
  5. Step 5: Solve for x
    x = 7,242,690,816/56,106
  6. Step 6: Final answer
    x = 129,089.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.