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Finding the Third Proportional to 61,300 and 134,084

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Solution

The third proportional to 61,300 and 134,084 is: 293,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,300 : 134,084 = 134,084 : x
  2. Step 2: Convert to fraction form
    61,300/134,084 = 134,084/x
  3. Step 3: Cross multiply
    61,300x = 134,084 × 134,084
  4. Step 4: Simplify right side
    61,300x = 17,978,519,056
  5. Step 5: Solve for x
    x = 17,978,519,056/61,300
  6. Step 6: Final answer
    x = 293,287.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.