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Finding the Third Proportional to 142,079 and 212,146

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Solution

The third proportional to 142,079 and 212,146 is: 316,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,079 : 212,146 = 212,146 : x
  2. Step 2: Convert to fraction form
    142,079/212,146 = 212,146/x
  3. Step 3: Cross multiply
    142,079x = 212,146 × 212,146
  4. Step 4: Simplify right side
    142,079x = 45,005,925,316
  5. Step 5: Solve for x
    x = 45,005,925,316/142,079
  6. Step 6: Final answer
    x = 316,766.91

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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.