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Finding the Third Proportional to 48,698 and 105,178

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Solution

The third proportional to 48,698 and 105,178 is: 227,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,698 : 105,178 = 105,178 : x
  2. Step 2: Convert to fraction form
    48,698/105,178 = 105,178/x
  3. Step 3: Cross multiply
    48,698x = 105,178 × 105,178
  4. Step 4: Simplify right side
    48,698x = 11,062,411,684
  5. Step 5: Solve for x
    x = 11,062,411,684/48,698
  6. Step 6: Final answer
    x = 227,163.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.