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Finding the Third Proportional to 57,028 and 89,459

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Solution

The third proportional to 57,028 and 89,459 is: 140,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,028 : 89,459 = 89,459 : x
  2. Step 2: Convert to fraction form
    57,028/89,459 = 89,459/x
  3. Step 3: Cross multiply
    57,028x = 89,459 × 89,459
  4. Step 4: Simplify right side
    57,028x = 8,002,912,681
  5. Step 5: Solve for x
    x = 8,002,912,681/57,028
  6. Step 6: Final answer
    x = 140,333.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.