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Finding the Third Proportional to 57,556 and 84,270

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Solution

The third proportional to 57,556 and 84,270 is: 123,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,556 : 84,270 = 84,270 : x
  2. Step 2: Convert to fraction form
    57,556/84,270 = 84,270/x
  3. Step 3: Cross multiply
    57,556x = 84,270 × 84,270
  4. Step 4: Simplify right side
    57,556x = 7,101,432,900
  5. Step 5: Solve for x
    x = 7,101,432,900/57,556
  6. Step 6: Final answer
    x = 123,383.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.