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Finding the Third Proportional to 84,814 and 144,433

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Solution

The third proportional to 84,814 and 144,433 is: 245,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,814 : 144,433 = 144,433 : x
  2. Step 2: Convert to fraction form
    84,814/144,433 = 144,433/x
  3. Step 3: Cross multiply
    84,814x = 144,433 × 144,433
  4. Step 4: Simplify right side
    84,814x = 20,860,891,489
  5. Step 5: Solve for x
    x = 20,860,891,489/84,814
  6. Step 6: Final answer
    x = 245,960.47

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.