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Finding the Third Proportional to 84,838 and 134,315

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Solution

The third proportional to 84,838 and 134,315 is: 212,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,838 : 134,315 = 134,315 : x
  2. Step 2: Convert to fraction form
    84,838/134,315 = 134,315/x
  3. Step 3: Cross multiply
    84,838x = 134,315 × 134,315
  4. Step 4: Simplify right side
    84,838x = 18,040,519,225
  5. Step 5: Solve for x
    x = 18,040,519,225/84,838
  6. Step 6: Final answer
    x = 212,646.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.