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Finding the Third Proportional to 69,256.69 and 113,077.69

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Solution

The third proportional to 69,256.69 and 113,077.69 is: 184,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,256.69 : 113,077.69 = 113,077.69 : x
  2. Step 2: Convert to fraction form
    69,256.69/113,077.69 = 113,077.69/x
  3. Step 3: Cross multiply
    69,256.69x = 113,077.69 × 113,077.69
  4. Step 4: Simplify right side
    69,256.69x = 12,786,563,410.35
  5. Step 5: Solve for x
    x = 12,786,563,410.35/69,256.69
  6. Step 6: Final answer
    x = 184,625.69

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.