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Finding the Third Proportional to 57,984 and 84,928

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Solution

The third proportional to 57,984 and 84,928 is: 124,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984 : 84,928 = 84,928 : x
  2. Step 2: Convert to fraction form
    57,984/84,928 = 84,928/x
  3. Step 3: Cross multiply
    57,984x = 84,928 × 84,928
  4. Step 4: Simplify right side
    57,984x = 7,212,765,184
  5. Step 5: Solve for x
    x = 7,212,765,184/57,984
  6. Step 6: Final answer
    x = 124,392.34

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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.