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Finding the Third Proportional to 45,765 and 69,135.75

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Solution

The third proportional to 45,765 and 69,135.75 is: 104,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,765 : 69,135.75 = 69,135.75 : x
  2. Step 2: Convert to fraction form
    45,765/69,135.75 = 69,135.75/x
  3. Step 3: Cross multiply
    45,765x = 69,135.75 × 69,135.75
  4. Step 4: Simplify right side
    45,765x = 4,779,751,928.06
  5. Step 5: Solve for x
    x = 4,779,751,928.06/45,765
  6. Step 6: Final answer
    x = 104,441.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.