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Finding the Third Proportional to 75,483 and 162,558

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Solution

The third proportional to 75,483 and 162,558 is: 350,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,483 : 162,558 = 162,558 : x
  2. Step 2: Convert to fraction form
    75,483/162,558 = 162,558/x
  3. Step 3: Cross multiply
    75,483x = 162,558 × 162,558
  4. Step 4: Simplify right side
    75,483x = 26,425,103,364
  5. Step 5: Solve for x
    x = 26,425,103,364/75,483
  6. Step 6: Final answer
    x = 350,080.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.