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Finding the Third Proportional to 56,216 and 124,334

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Solution

The third proportional to 56,216 and 124,334 is: 274,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,216 : 124,334 = 124,334 : x
  2. Step 2: Convert to fraction form
    56,216/124,334 = 124,334/x
  3. Step 3: Cross multiply
    56,216x = 124,334 × 124,334
  4. Step 4: Simplify right side
    56,216x = 15,458,943,556
  5. Step 5: Solve for x
    x = 15,458,943,556/56,216
  6. Step 6: Final answer
    x = 274,991.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.