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Finding the Third Proportional to 101,260 and 153,400

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Solution

The third proportional to 101,260 and 153,400 is: 232,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,260 : 153,400 = 153,400 : x
  2. Step 2: Convert to fraction form
    101,260/153,400 = 153,400/x
  3. Step 3: Cross multiply
    101,260x = 153,400 × 153,400
  4. Step 4: Simplify right side
    101,260x = 23,531,560,000
  5. Step 5: Solve for x
    x = 23,531,560,000/101,260
  6. Step 6: Final answer
    x = 232,387.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.