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Finding the Third Proportional to 62,295 and 146,247

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Solution

The third proportional to 62,295 and 146,247 is: 343,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,295 : 146,247 = 146,247 : x
  2. Step 2: Convert to fraction form
    62,295/146,247 = 146,247/x
  3. Step 3: Cross multiply
    62,295x = 146,247 × 146,247
  4. Step 4: Simplify right side
    62,295x = 21,388,185,009
  5. Step 5: Solve for x
    x = 21,388,185,009/62,295
  6. Step 6: Final answer
    x = 343,337.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.