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Finding the Third Proportional to 50,907 and 109,618

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Solution

The third proportional to 50,907 and 109,618 is: 236,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,907 : 109,618 = 109,618 : x
  2. Step 2: Convert to fraction form
    50,907/109,618 = 109,618/x
  3. Step 3: Cross multiply
    50,907x = 109,618 × 109,618
  4. Step 4: Simplify right side
    50,907x = 12,016,105,924
  5. Step 5: Solve for x
    x = 12,016,105,924/50,907
  6. Step 6: Final answer
    x = 236,040.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.