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Finding the Third Proportional to 42,066 and 98,283

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Solution

The third proportional to 42,066 and 98,283 is: 229,628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,066 : 98,283 = 98,283 : x
  2. Step 2: Convert to fraction form
    42,066/98,283 = 98,283/x
  3. Step 3: Cross multiply
    42,066x = 98,283 × 98,283
  4. Step 4: Simplify right side
    42,066x = 9,659,548,089
  5. Step 5: Solve for x
    x = 9,659,548,089/42,066
  6. Step 6: Final answer
    x = 229,628.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.