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Finding the Third Proportional to 68,176 and 146,066

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Solution

The third proportional to 68,176 and 146,066 is: 312,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,176 : 146,066 = 146,066 : x
  2. Step 2: Convert to fraction form
    68,176/146,066 = 146,066/x
  3. Step 3: Cross multiply
    68,176x = 146,066 × 146,066
  4. Step 4: Simplify right side
    68,176x = 21,335,276,356
  5. Step 5: Solve for x
    x = 21,335,276,356/68,176
  6. Step 6: Final answer
    x = 312,944.09

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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.