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Finding the Third Proportional to 94,982 and 141,009

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Solution

The third proportional to 94,982 and 141,009 is: 209,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,982 : 141,009 = 141,009 : x
  2. Step 2: Convert to fraction form
    94,982/141,009 = 141,009/x
  3. Step 3: Cross multiply
    94,982x = 141,009 × 141,009
  4. Step 4: Simplify right side
    94,982x = 19,883,538,081
  5. Step 5: Solve for x
    x = 19,883,538,081/94,982
  6. Step 6: Final answer
    x = 209,340.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.