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Finding the Third Proportional to 124,282 and 194,420

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Solution

The third proportional to 124,282 and 194,420 is: 304,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,282 : 194,420 = 194,420 : x
  2. Step 2: Convert to fraction form
    124,282/194,420 = 194,420/x
  3. Step 3: Cross multiply
    124,282x = 194,420 × 194,420
  4. Step 4: Simplify right side
    124,282x = 37,799,136,400
  5. Step 5: Solve for x
    x = 37,799,136,400/124,282
  6. Step 6: Final answer
    x = 304,140.07

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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.