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Finding the Third Proportional to 57,316 and 125,705

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Solution

The third proportional to 57,316 and 125,705 is: 275,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,316 : 125,705 = 125,705 : x
  2. Step 2: Convert to fraction form
    57,316/125,705 = 125,705/x
  3. Step 3: Cross multiply
    57,316x = 125,705 × 125,705
  4. Step 4: Simplify right side
    57,316x = 15,801,747,025
  5. Step 5: Solve for x
    x = 15,801,747,025/57,316
  6. Step 6: Final answer
    x = 275,695.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.