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Finding the Third Proportional to 84,268 and 126,618

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Solution

The third proportional to 84,268 and 126,618 is: 190,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,268 : 126,618 = 126,618 : x
  2. Step 2: Convert to fraction form
    84,268/126,618 = 126,618/x
  3. Step 3: Cross multiply
    84,268x = 126,618 × 126,618
  4. Step 4: Simplify right side
    84,268x = 16,032,117,924
  5. Step 5: Solve for x
    x = 16,032,117,924/84,268
  6. Step 6: Final answer
    x = 190,251.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.