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Finding the Third Proportional to 56,954 and 124,984

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Solution

The third proportional to 56,954 and 124,984 is: 274,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,954 : 124,984 = 124,984 : x
  2. Step 2: Convert to fraction form
    56,954/124,984 = 124,984/x
  3. Step 3: Cross multiply
    56,954x = 124,984 × 124,984
  4. Step 4: Simplify right side
    56,954x = 15,621,000,256
  5. Step 5: Solve for x
    x = 15,621,000,256/56,954
  6. Step 6: Final answer
    x = 274,273.98

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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.