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Finding the Third Proportional to 69,256 and 148,112

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Solution

The third proportional to 69,256 and 148,112 is: 316,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,256 : 148,112 = 148,112 : x
  2. Step 2: Convert to fraction form
    69,256/148,112 = 148,112/x
  3. Step 3: Cross multiply
    69,256x = 148,112 × 148,112
  4. Step 4: Simplify right side
    69,256x = 21,937,164,544
  5. Step 5: Solve for x
    x = 21,937,164,544/69,256
  6. Step 6: Final answer
    x = 316,754.72

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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.