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Finding the Third Proportional to 43,140 and 94,299

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Solution

The third proportional to 43,140 and 94,299 is: 206,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,140 : 94,299 = 94,299 : x
  2. Step 2: Convert to fraction form
    43,140/94,299 = 94,299/x
  3. Step 3: Cross multiply
    43,140x = 94,299 × 94,299
  4. Step 4: Simplify right side
    43,140x = 8,892,301,401
  5. Step 5: Solve for x
    x = 8,892,301,401/43,140
  6. Step 6: Final answer
    x = 206,126.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.