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Finding the Third Proportional to 64,633.50 and 135,153

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Solution

The third proportional to 64,633.50 and 135,153 is: 282,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,633.50 : 135,153 = 135,153 : x
  2. Step 2: Convert to fraction form
    64,633.50/135,153 = 135,153/x
  3. Step 3: Cross multiply
    64,633.50x = 135,153 × 135,153
  4. Step 4: Simplify right side
    64,633.50x = 18,266,333,409
  5. Step 5: Solve for x
    x = 18,266,333,409/64,633.50
  6. Step 6: Final answer
    x = 282,614.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.