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Finding the Third Proportional to 93,247 and 201,235

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Solution

The third proportional to 93,247 and 201,235 is: 434,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,247 : 201,235 = 201,235 : x
  2. Step 2: Convert to fraction form
    93,247/201,235 = 201,235/x
  3. Step 3: Cross multiply
    93,247x = 201,235 × 201,235
  4. Step 4: Simplify right side
    93,247x = 40,495,525,225
  5. Step 5: Solve for x
    x = 40,495,525,225/93,247
  6. Step 6: Final answer
    x = 434,282.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.