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Finding the Third Proportional to 126,112 and 189,316

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Solution

The third proportional to 126,112 and 189,316 is: 284,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,112 : 189,316 = 189,316 : x
  2. Step 2: Convert to fraction form
    126,112/189,316 = 189,316/x
  3. Step 3: Cross multiply
    126,112x = 189,316 × 189,316
  4. Step 4: Simplify right side
    126,112x = 35,840,547,856
  5. Step 5: Solve for x
    x = 35,840,547,856/126,112
  6. Step 6: Final answer
    x = 284,196.17

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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.