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Finding the Third Proportional to 93,493.50 and 202,761

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Solution

The third proportional to 93,493.50 and 202,761 is: 439,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,493.50 : 202,761 = 202,761 : x
  2. Step 2: Convert to fraction form
    93,493.50/202,761 = 202,761/x
  3. Step 3: Cross multiply
    93,493.50x = 202,761 × 202,761
  4. Step 4: Simplify right side
    93,493.50x = 41,112,023,121
  5. Step 5: Solve for x
    x = 41,112,023,121/93,493.50
  6. Step 6: Final answer
    x = 439,731.35

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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.