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Finding the Third Proportional to 42,949 and 94,618

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Solution

The third proportional to 42,949 and 94,618 is: 208,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,949 : 94,618 = 94,618 : x
  2. Step 2: Convert to fraction form
    42,949/94,618 = 94,618/x
  3. Step 3: Cross multiply
    42,949x = 94,618 × 94,618
  4. Step 4: Simplify right side
    42,949x = 8,952,565,924
  5. Step 5: Solve for x
    x = 8,952,565,924/42,949
  6. Step 6: Final answer
    x = 208,446.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.