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Finding the Third Proportional to 56,986 and 124,461

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Solution

The third proportional to 56,986 and 124,461 is: 271,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,986 : 124,461 = 124,461 : x
  2. Step 2: Convert to fraction form
    56,986/124,461 = 124,461/x
  3. Step 3: Cross multiply
    56,986x = 124,461 × 124,461
  4. Step 4: Simplify right side
    56,986x = 15,490,540,521
  5. Step 5: Solve for x
    x = 15,490,540,521/56,986
  6. Step 6: Final answer
    x = 271,830.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.