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Finding the Third Proportional to 57,352 and 134,936

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Solution

The third proportional to 57,352 and 134,936 is: 317,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,352 : 134,936 = 134,936 : x
  2. Step 2: Convert to fraction form
    57,352/134,936 = 134,936/x
  3. Step 3: Cross multiply
    57,352x = 134,936 × 134,936
  4. Step 4: Simplify right side
    57,352x = 18,207,724,096
  5. Step 5: Solve for x
    x = 18,207,724,096/57,352
  6. Step 6: Final answer
    x = 317,473.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.