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Finding the Third Proportional to 142,112 and 212,192

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Solution

The third proportional to 142,112 and 212,192 is: 316,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,112 : 212,192 = 212,192 : x
  2. Step 2: Convert to fraction form
    142,112/212,192 = 212,192/x
  3. Step 3: Cross multiply
    142,112x = 212,192 × 212,192
  4. Step 4: Simplify right side
    142,112x = 45,025,444,864
  5. Step 5: Solve for x
    x = 45,025,444,864/142,112
  6. Step 6: Final answer
    x = 316,830.70

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