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Finding the Third Proportional to 58,595 and 126,910

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Solution

The third proportional to 58,595 and 126,910 is: 274,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,595 : 126,910 = 126,910 : x
  2. Step 2: Convert to fraction form
    58,595/126,910 = 126,910/x
  3. Step 3: Cross multiply
    58,595x = 126,910 × 126,910
  4. Step 4: Simplify right side
    58,595x = 16,106,148,100
  5. Step 5: Solve for x
    x = 16,106,148,100/58,595
  6. Step 6: Final answer
    x = 274,872.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.