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Finding the Third Proportional to 62,726 and 134,084

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Solution

The third proportional to 62,726 and 134,084 is: 286,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,726 : 134,084 = 134,084 : x
  2. Step 2: Convert to fraction form
    62,726/134,084 = 134,084/x
  3. Step 3: Cross multiply
    62,726x = 134,084 × 134,084
  4. Step 4: Simplify right side
    62,726x = 17,978,519,056
  5. Step 5: Solve for x
    x = 17,978,519,056/62,726
  6. Step 6: Final answer
    x = 286,619.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.