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Finding the Third Proportional to 70,612 and 102,018

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Solution

The third proportional to 70,612 and 102,018 is: 147,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,612 : 102,018 = 102,018 : x
  2. Step 2: Convert to fraction form
    70,612/102,018 = 102,018/x
  3. Step 3: Cross multiply
    70,612x = 102,018 × 102,018
  4. Step 4: Simplify right side
    70,612x = 10,407,672,324
  5. Step 5: Solve for x
    x = 10,407,672,324/70,612
  6. Step 6: Final answer
    x = 147,392.40

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.