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Finding the Third Proportional to 48,673 and 103,618

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Solution

The third proportional to 48,673 and 103,618 is: 220,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,673 : 103,618 = 103,618 : x
  2. Step 2: Convert to fraction form
    48,673/103,618 = 103,618/x
  3. Step 3: Cross multiply
    48,673x = 103,618 × 103,618
  4. Step 4: Simplify right side
    48,673x = 10,736,689,924
  5. Step 5: Solve for x
    x = 10,736,689,924/48,673
  6. Step 6: Final answer
    x = 220,588.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.