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Finding the Third Proportional to 68,166 and 146,052

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Solution

The third proportional to 68,166 and 146,052 is: 312,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,166 : 146,052 = 146,052 : x
  2. Step 2: Convert to fraction form
    68,166/146,052 = 146,052/x
  3. Step 3: Cross multiply
    68,166x = 146,052 × 146,052
  4. Step 4: Simplify right side
    68,166x = 21,331,186,704
  5. Step 5: Solve for x
    x = 21,331,186,704/68,166
  6. Step 6: Final answer
    x = 312,930.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.