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Finding the Third Proportional to 56,922 and 124,918

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Solution

The third proportional to 56,922 and 124,918 is: 274,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,922 : 124,918 = 124,918 : x
  2. Step 2: Convert to fraction form
    56,922/124,918 = 124,918/x
  3. Step 3: Cross multiply
    56,922x = 124,918 × 124,918
  4. Step 4: Simplify right side
    56,922x = 15,604,506,724
  5. Step 5: Solve for x
    x = 15,604,506,724/56,922
  6. Step 6: Final answer
    x = 274,138.41

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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.