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Finding the Third Proportional to 42,932.50 and 94,783.50

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Solution

The third proportional to 42,932.50 and 94,783.50 is: 209,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,932.50 : 94,783.50 = 94,783.50 : x
  2. Step 2: Convert to fraction form
    42,932.50/94,783.50 = 94,783.50/x
  3. Step 3: Cross multiply
    42,932.50x = 94,783.50 × 94,783.50
  4. Step 4: Simplify right side
    42,932.50x = 8,983,911,872.25
  5. Step 5: Solve for x
    x = 8,983,911,872.25/42,932.50
  6. Step 6: Final answer
    x = 209,256.67

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.