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Finding the Third Proportional to 124,130 and 196,647

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Solution

The third proportional to 124,130 and 196,647 is: 311,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,130 : 196,647 = 196,647 : x
  2. Step 2: Convert to fraction form
    124,130/196,647 = 196,647/x
  3. Step 3: Cross multiply
    124,130x = 196,647 × 196,647
  4. Step 4: Simplify right side
    124,130x = 38,670,042,609
  5. Step 5: Solve for x
    x = 38,670,042,609/124,130
  6. Step 6: Final answer
    x = 311,528.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.