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Finding the Third Proportional to 62,267 and 137,618

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Solution

The third proportional to 62,267 and 137,618 is: 304,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,267 : 137,618 = 137,618 : x
  2. Step 2: Convert to fraction form
    62,267/137,618 = 137,618/x
  3. Step 3: Cross multiply
    62,267x = 137,618 × 137,618
  4. Step 4: Simplify right side
    62,267x = 18,938,713,924
  5. Step 5: Solve for x
    x = 18,938,713,924/62,267
  6. Step 6: Final answer
    x = 304,153.31

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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.