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Finding the Third Proportional to 69,308 and 111,618

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Solution

The third proportional to 69,308 and 111,618 is: 179,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,308 : 111,618 = 111,618 : x
  2. Step 2: Convert to fraction form
    69,308/111,618 = 111,618/x
  3. Step 3: Cross multiply
    69,308x = 111,618 × 111,618
  4. Step 4: Simplify right side
    69,308x = 12,458,577,924
  5. Step 5: Solve for x
    x = 12,458,577,924/69,308
  6. Step 6: Final answer
    x = 179,756.71

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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.