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Finding the Third Proportional to 66,133 and 94,533

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Solution

The third proportional to 66,133 and 94,533 is: 135,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,133 : 94,533 = 94,533 : x
  2. Step 2: Convert to fraction form
    66,133/94,533 = 94,533/x
  3. Step 3: Cross multiply
    66,133x = 94,533 × 94,533
  4. Step 4: Simplify right side
    66,133x = 8,936,488,089
  5. Step 5: Solve for x
    x = 8,936,488,089/66,133
  6. Step 6: Final answer
    x = 135,129.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.