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Finding the Third Proportional to 49,185 and 106,146

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Solution

The third proportional to 49,185 and 106,146 is: 229,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,185 : 106,146 = 106,146 : x
  2. Step 2: Convert to fraction form
    49,185/106,146 = 106,146/x
  3. Step 3: Cross multiply
    49,185x = 106,146 × 106,146
  4. Step 4: Simplify right side
    49,185x = 11,266,973,316
  5. Step 5: Solve for x
    x = 11,266,973,316/49,185
  6. Step 6: Final answer
    x = 229,073.36

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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.