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Finding the Third Proportional to 56,425 and 87,086

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Solution

The third proportional to 56,425 and 87,086 is: 134,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,425 : 87,086 = 87,086 : x
  2. Step 2: Convert to fraction form
    56,425/87,086 = 87,086/x
  3. Step 3: Cross multiply
    56,425x = 87,086 × 87,086
  4. Step 4: Simplify right side
    56,425x = 7,583,971,396
  5. Step 5: Solve for x
    x = 7,583,971,396/56,425
  6. Step 6: Final answer
    x = 134,408.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.