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Finding the Third Proportional to 82,525.50 and 127,575

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Solution

The third proportional to 82,525.50 and 127,575 is: 197,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,525.50 : 127,575 = 127,575 : x
  2. Step 2: Convert to fraction form
    82,525.50/127,575 = 127,575/x
  3. Step 3: Cross multiply
    82,525.50x = 127,575 × 127,575
  4. Step 4: Simplify right side
    82,525.50x = 16,275,380,625
  5. Step 5: Solve for x
    x = 16,275,380,625/82,525.50
  6. Step 6: Final answer
    x = 197,216.38

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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.