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Finding the Third Proportional to 124,284 and 194,423

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Solution

The third proportional to 124,284 and 194,423 is: 304,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,284 : 194,423 = 194,423 : x
  2. Step 2: Convert to fraction form
    124,284/194,423 = 194,423/x
  3. Step 3: Cross multiply
    124,284x = 194,423 × 194,423
  4. Step 4: Simplify right side
    124,284x = 37,800,302,929
  5. Step 5: Solve for x
    x = 37,800,302,929/124,284
  6. Step 6: Final answer
    x = 304,144.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.