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Finding the Third Proportional to 68,443.50 and 102,384

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Solution

The third proportional to 68,443.50 and 102,384 is: 153,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,443.50 : 102,384 = 102,384 : x
  2. Step 2: Convert to fraction form
    68,443.50/102,384 = 102,384/x
  3. Step 3: Cross multiply
    68,443.50x = 102,384 × 102,384
  4. Step 4: Simplify right side
    68,443.50x = 10,482,483,456
  5. Step 5: Solve for x
    x = 10,482,483,456/68,443.50
  6. Step 6: Final answer
    x = 153,155.28

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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.