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Finding the Third Proportional to 53,000 and 82,380

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Solution

The third proportional to 53,000 and 82,380 is: 128,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,000 : 82,380 = 82,380 : x
  2. Step 2: Convert to fraction form
    53,000/82,380 = 82,380/x
  3. Step 3: Cross multiply
    53,000x = 82,380 × 82,380
  4. Step 4: Simplify right side
    53,000x = 6,786,464,400
  5. Step 5: Solve for x
    x = 6,786,464,400/53,000
  6. Step 6: Final answer
    x = 128,046.50

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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.