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Finding the Third Proportional to 63,618 and 127,229

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Solution

The third proportional to 63,618 and 127,229 is: 254,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,618 : 127,229 = 127,229 : x
  2. Step 2: Convert to fraction form
    63,618/127,229 = 127,229/x
  3. Step 3: Cross multiply
    63,618x = 127,229 × 127,229
  4. Step 4: Simplify right side
    63,618x = 16,187,218,441
  5. Step 5: Solve for x
    x = 16,187,218,441/63,618
  6. Step 6: Final answer
    x = 254,444.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.