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Finding the Third Proportional to 65,962.88 and 155,558.81

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Solution

The third proportional to 65,962.88 and 155,558.81 is: 366,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,962.88 : 155,558.81 = 155,558.81 : x
  2. Step 2: Convert to fraction form
    65,962.88/155,558.81 = 155,558.81/x
  3. Step 3: Cross multiply
    65,962.88x = 155,558.81 × 155,558.81
  4. Step 4: Simplify right side
    65,962.88x = 24,198,544,146.41
  5. Step 5: Solve for x
    x = 24,198,544,146.41/65,962.88
  6. Step 6: Final answer
    x = 366,850.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.