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Finding the Third Proportional to 95,159 and 142,185

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Solution

The third proportional to 95,159 and 142,185 is: 212,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,159 : 142,185 = 142,185 : x
  2. Step 2: Convert to fraction form
    95,159/142,185 = 142,185/x
  3. Step 3: Cross multiply
    95,159x = 142,185 × 142,185
  4. Step 4: Simplify right side
    95,159x = 20,216,574,225
  5. Step 5: Solve for x
    x = 20,216,574,225/95,159
  6. Step 6: Final answer
    x = 212,450.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.