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Finding the Third Proportional to 69,276 and 146,820

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Solution

The third proportional to 69,276 and 146,820 is: 311,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,276 : 146,820 = 146,820 : x
  2. Step 2: Convert to fraction form
    69,276/146,820 = 146,820/x
  3. Step 3: Cross multiply
    69,276x = 146,820 × 146,820
  4. Step 4: Simplify right side
    69,276x = 21,556,112,400
  5. Step 5: Solve for x
    x = 21,556,112,400/69,276
  6. Step 6: Final answer
    x = 311,162.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.