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Finding the Third Proportional to 54,348 and 84,000

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Solution

The third proportional to 54,348 and 84,000 is: 129,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,348 : 84,000 = 84,000 : x
  2. Step 2: Convert to fraction form
    54,348/84,000 = 84,000/x
  3. Step 3: Cross multiply
    54,348x = 84,000 × 84,000
  4. Step 4: Simplify right side
    54,348x = 7,056,000,000
  5. Step 5: Solve for x
    x = 7,056,000,000/54,348
  6. Step 6: Final answer
    x = 129,829.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.