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Finding the Third Proportional to 127,008 and 189,888

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Solution

The third proportional to 127,008 and 189,888 is: 283,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,008 : 189,888 = 189,888 : x
  2. Step 2: Convert to fraction form
    127,008/189,888 = 189,888/x
  3. Step 3: Cross multiply
    127,008x = 189,888 × 189,888
  4. Step 4: Simplify right side
    127,008x = 36,057,452,544
  5. Step 5: Solve for x
    x = 36,057,452,544/127,008
  6. Step 6: Final answer
    x = 283,899.07

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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.