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Finding the Third Proportional to 103,378 and 155,068

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Solution

The third proportional to 103,378 and 155,068 is: 232,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,378 : 155,068 = 155,068 : x
  2. Step 2: Convert to fraction form
    103,378/155,068 = 155,068/x
  3. Step 3: Cross multiply
    103,378x = 155,068 × 155,068
  4. Step 4: Simplify right side
    103,378x = 24,046,084,624
  5. Step 5: Solve for x
    x = 24,046,084,624/103,378
  6. Step 6: Final answer
    x = 232,603.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.