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Finding the Third Proportional to 57,014 and 89,437

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Solution

The third proportional to 57,014 and 89,437 is: 140,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,014 : 89,437 = 89,437 : x
  2. Step 2: Convert to fraction form
    57,014/89,437 = 89,437/x
  3. Step 3: Cross multiply
    57,014x = 89,437 × 89,437
  4. Step 4: Simplify right side
    57,014x = 7,998,976,969
  5. Step 5: Solve for x
    x = 7,998,976,969/57,014
  6. Step 6: Final answer
    x = 140,298.47

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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.