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Finding the Third Proportional to 94,964 and 140,982

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Solution

The third proportional to 94,964 and 140,982 is: 209,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,964 : 140,982 = 140,982 : x
  2. Step 2: Convert to fraction form
    94,964/140,982 = 140,982/x
  3. Step 3: Cross multiply
    94,964x = 140,982 × 140,982
  4. Step 4: Simplify right side
    94,964x = 19,875,924,324
  5. Step 5: Solve for x
    x = 19,875,924,324/94,964
  6. Step 6: Final answer
    x = 209,299.57

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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.