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Finding the Third Proportional to 127,256 and 190,804

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Solution

The third proportional to 127,256 and 190,804 is: 286,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,256 : 190,804 = 190,804 : x
  2. Step 2: Convert to fraction form
    127,256/190,804 = 190,804/x
  3. Step 3: Cross multiply
    127,256x = 190,804 × 190,804
  4. Step 4: Simplify right side
    127,256x = 36,406,166,416
  5. Step 5: Solve for x
    x = 36,406,166,416/127,256
  6. Step 6: Final answer
    x = 286,086.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.