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Finding the Third Proportional to 103,984 and 155,281

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Solution

The third proportional to 103,984 and 155,281 is: 231,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,984 : 155,281 = 155,281 : x
  2. Step 2: Convert to fraction form
    103,984/155,281 = 155,281/x
  3. Step 3: Cross multiply
    103,984x = 155,281 × 155,281
  4. Step 4: Simplify right side
    103,984x = 24,112,188,961
  5. Step 5: Solve for x
    x = 24,112,188,961/103,984
  6. Step 6: Final answer
    x = 231,883.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.