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Finding the Third Proportional to 29,277.94 and 65,106.75

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Solution

The third proportional to 29,277.94 and 65,106.75 is: 144,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,277.94 : 65,106.75 = 65,106.75 : x
  2. Step 2: Convert to fraction form
    29,277.94/65,106.75 = 65,106.75/x
  3. Step 3: Cross multiply
    29,277.94x = 65,106.75 × 65,106.75
  4. Step 4: Simplify right side
    29,277.94x = 4,238,888,895.56
  5. Step 5: Solve for x
    x = 4,238,888,895.56/29,277.94
  6. Step 6: Final answer
    x = 144,780.99

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.