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Finding the Third Proportional to 126,038 and 189,057

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Solution

The third proportional to 126,038 and 189,057 is: 283,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,038 : 189,057 = 189,057 : x
  2. Step 2: Convert to fraction form
    126,038/189,057 = 189,057/x
  3. Step 3: Cross multiply
    126,038x = 189,057 × 189,057
  4. Step 4: Simplify right side
    126,038x = 35,742,549,249
  5. Step 5: Solve for x
    x = 35,742,549,249/126,038
  6. Step 6: Final answer
    x = 283,585.50

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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.