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Finding the Third Proportional to 56,912 and 124,664

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Solution

The third proportional to 56,912 and 124,664 is: 273,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,912 : 124,664 = 124,664 : x
  2. Step 2: Convert to fraction form
    56,912/124,664 = 124,664/x
  3. Step 3: Cross multiply
    56,912x = 124,664 × 124,664
  4. Step 4: Simplify right side
    56,912x = 15,541,112,896
  5. Step 5: Solve for x
    x = 15,541,112,896/56,912
  6. Step 6: Final answer
    x = 273,072.69

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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.