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Finding the Third Proportional to 43,130 and 94,274

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Solution

The third proportional to 43,130 and 94,274 is: 206,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,130 : 94,274 = 94,274 : x
  2. Step 2: Convert to fraction form
    43,130/94,274 = 94,274/x
  3. Step 3: Cross multiply
    43,130x = 94,274 × 94,274
  4. Step 4: Simplify right side
    43,130x = 8,887,587,076
  5. Step 5: Solve for x
    x = 8,887,587,076/43,130
  6. Step 6: Final answer
    x = 206,065.08

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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.