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Finding the Third Proportional to 106,716 and 143,178

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Solution

The third proportional to 106,716 and 143,178 is: 192,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,716 : 143,178 = 143,178 : x
  2. Step 2: Convert to fraction form
    106,716/143,178 = 143,178/x
  3. Step 3: Cross multiply
    106,716x = 143,178 × 143,178
  4. Step 4: Simplify right side
    106,716x = 20,499,939,684
  5. Step 5: Solve for x
    x = 20,499,939,684/106,716
  6. Step 6: Final answer
    x = 192,098.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.