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Finding the Third Proportional to 75,784 and 113,678

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Solution

The third proportional to 75,784 and 113,678 is: 170,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,784 : 113,678 = 113,678 : x
  2. Step 2: Convert to fraction form
    75,784/113,678 = 113,678/x
  3. Step 3: Cross multiply
    75,784x = 113,678 × 113,678
  4. Step 4: Simplify right side
    75,784x = 12,922,687,684
  5. Step 5: Solve for x
    x = 12,922,687,684/75,784
  6. Step 6: Final answer
    x = 170,520.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.