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Finding the Third Proportional to 134,234 and 188,127

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Solution

The third proportional to 134,234 and 188,127 is: 263,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,234 : 188,127 = 188,127 : x
  2. Step 2: Convert to fraction form
    134,234/188,127 = 188,127/x
  3. Step 3: Cross multiply
    134,234x = 188,127 × 188,127
  4. Step 4: Simplify right side
    134,234x = 35,391,768,129
  5. Step 5: Solve for x
    x = 35,391,768,129/134,234
  6. Step 6: Final answer
    x = 263,657.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.