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Finding the Third Proportional to 49,618 and 117,034

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Solution

The third proportional to 49,618 and 117,034 is: 276,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,618 : 117,034 = 117,034 : x
  2. Step 2: Convert to fraction form
    49,618/117,034 = 117,034/x
  3. Step 3: Cross multiply
    49,618x = 117,034 × 117,034
  4. Step 4: Simplify right side
    49,618x = 13,696,957,156
  5. Step 5: Solve for x
    x = 13,696,957,156/49,618
  6. Step 6: Final answer
    x = 276,048.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.