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Finding the Third Proportional to 60,617 and 124,967

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Solution

The third proportional to 60,617 and 124,967 is: 257,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,617 : 124,967 = 124,967 : x
  2. Step 2: Convert to fraction form
    60,617/124,967 = 124,967/x
  3. Step 3: Cross multiply
    60,617x = 124,967 × 124,967
  4. Step 4: Simplify right side
    60,617x = 15,616,751,089
  5. Step 5: Solve for x
    x = 15,616,751,089/60,617
  6. Step 6: Final answer
    x = 257,629.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.