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Finding the Third Proportional to 66,626 and 141,883

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Solution

The third proportional to 66,626 and 141,883 is: 302,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,626 : 141,883 = 141,883 : x
  2. Step 2: Convert to fraction form
    66,626/141,883 = 141,883/x
  3. Step 3: Cross multiply
    66,626x = 141,883 × 141,883
  4. Step 4: Simplify right side
    66,626x = 20,130,785,689
  5. Step 5: Solve for x
    x = 20,130,785,689/66,626
  6. Step 6: Final answer
    x = 302,146.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.