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Finding the Third Proportional to 54,214 and 83,434

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Solution

The third proportional to 54,214 and 83,434 is: 128,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,214 : 83,434 = 83,434 : x
  2. Step 2: Convert to fraction form
    54,214/83,434 = 83,434/x
  3. Step 3: Cross multiply
    54,214x = 83,434 × 83,434
  4. Step 4: Simplify right side
    54,214x = 6,961,232,356
  5. Step 5: Solve for x
    x = 6,961,232,356/54,214
  6. Step 6: Final answer
    x = 128,402.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.