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Finding the Third Proportional to 65,334.94 and 142,561.69

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Solution

The third proportional to 65,334.94 and 142,561.69 is: 311,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,334.94 : 142,561.69 = 142,561.69 : x
  2. Step 2: Convert to fraction form
    65,334.94/142,561.69 = 142,561.69/x
  3. Step 3: Cross multiply
    65,334.94x = 142,561.69 × 142,561.69
  4. Step 4: Simplify right side
    65,334.94x = 20,323,834,742.85
  5. Step 5: Solve for x
    x = 20,323,834,742.85/65,334.94
  6. Step 6: Final answer
    x = 311,071.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.