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Finding the Third Proportional to 48,618 and 103,023

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Solution

The third proportional to 48,618 and 103,023 is: 218,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,618 : 103,023 = 103,023 : x
  2. Step 2: Convert to fraction form
    48,618/103,023 = 103,023/x
  3. Step 3: Cross multiply
    48,618x = 103,023 × 103,023
  4. Step 4: Simplify right side
    48,618x = 10,613,738,529
  5. Step 5: Solve for x
    x = 10,613,738,529/48,618
  6. Step 6: Final answer
    x = 218,308.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.