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Finding the Third Proportional to 61,014 and 132,324

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Solution

The third proportional to 61,014 and 132,324 is: 286,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,014 : 132,324 = 132,324 : x
  2. Step 2: Convert to fraction form
    61,014/132,324 = 132,324/x
  3. Step 3: Cross multiply
    61,014x = 132,324 × 132,324
  4. Step 4: Simplify right side
    61,014x = 17,509,640,976
  5. Step 5: Solve for x
    x = 17,509,640,976/61,014
  6. Step 6: Final answer
    x = 286,977.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.