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Finding the Third Proportional to 66,935 and 107,618

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Solution

The third proportional to 66,935 and 107,618 is: 173,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,935 : 107,618 = 107,618 : x
  2. Step 2: Convert to fraction form
    66,935/107,618 = 107,618/x
  3. Step 3: Cross multiply
    66,935x = 107,618 × 107,618
  4. Step 4: Simplify right side
    66,935x = 11,581,633,924
  5. Step 5: Solve for x
    x = 11,581,633,924/66,935
  6. Step 6: Final answer
    x = 173,028.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.