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Finding the Third Proportional to 127,864 and 187,148

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Solution

The third proportional to 127,864 and 187,148 is: 273,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,864 : 187,148 = 187,148 : x
  2. Step 2: Convert to fraction form
    127,864/187,148 = 187,148/x
  3. Step 3: Cross multiply
    127,864x = 187,148 × 187,148
  4. Step 4: Simplify right side
    127,864x = 35,024,373,904
  5. Step 5: Solve for x
    x = 35,024,373,904/127,864
  6. Step 6: Final answer
    x = 273,918.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.