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Finding the Third Proportional to 61,382 and 134,476

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Solution

The third proportional to 61,382 and 134,476 is: 294,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,382 : 134,476 = 134,476 : x
  2. Step 2: Convert to fraction form
    61,382/134,476 = 134,476/x
  3. Step 3: Cross multiply
    61,382x = 134,476 × 134,476
  4. Step 4: Simplify right side
    61,382x = 18,083,794,576
  5. Step 5: Solve for x
    x = 18,083,794,576/61,382
  6. Step 6: Final answer
    x = 294,610.71

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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.