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Finding the Third Proportional to 51,842 and 124,968

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Solution

The third proportional to 51,842 and 124,968 is: 301,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842 : 124,968 = 124,968 : x
  2. Step 2: Convert to fraction form
    51,842/124,968 = 124,968/x
  3. Step 3: Cross multiply
    51,842x = 124,968 × 124,968
  4. Step 4: Simplify right side
    51,842x = 15,617,001,024
  5. Step 5: Solve for x
    x = 15,617,001,024/51,842
  6. Step 6: Final answer
    x = 301,242.26

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.