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Finding the Third Proportional to 93,753 and 208,242

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Solution

The third proportional to 93,753 and 208,242 is: 462,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,753 : 208,242 = 208,242 : x
  2. Step 2: Convert to fraction form
    93,753/208,242 = 208,242/x
  3. Step 3: Cross multiply
    93,753x = 208,242 × 208,242
  4. Step 4: Simplify right side
    93,753x = 43,364,730,564
  5. Step 5: Solve for x
    x = 43,364,730,564/93,753
  6. Step 6: Final answer
    x = 462,542.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.