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Finding the Third Proportional to 57,160 and 122,564

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Solution

The third proportional to 57,160 and 122,564 is: 262,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,160 : 122,564 = 122,564 : x
  2. Step 2: Convert to fraction form
    57,160/122,564 = 122,564/x
  3. Step 3: Cross multiply
    57,160x = 122,564 × 122,564
  4. Step 4: Simplify right side
    57,160x = 15,021,934,096
  5. Step 5: Solve for x
    x = 15,021,934,096/57,160
  6. Step 6: Final answer
    x = 262,805.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.