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Finding the Third Proportional to 42,928.50 and 93,003

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Solution

The third proportional to 42,928.50 and 93,003 is: 201,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,928.50 : 93,003 = 93,003 : x
  2. Step 2: Convert to fraction form
    42,928.50/93,003 = 93,003/x
  3. Step 3: Cross multiply
    42,928.50x = 93,003 × 93,003
  4. Step 4: Simplify right side
    42,928.50x = 8,649,558,009
  5. Step 5: Solve for x
    x = 8,649,558,009/42,928.50
  6. Step 6: Final answer
    x = 201,487.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.