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Finding the Third Proportional to 130,624 and 196,112

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Solution

The third proportional to 130,624 and 196,112 is: 294,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,624 : 196,112 = 196,112 : x
  2. Step 2: Convert to fraction form
    130,624/196,112 = 196,112/x
  3. Step 3: Cross multiply
    130,624x = 196,112 × 196,112
  4. Step 4: Simplify right side
    130,624x = 38,459,916,544
  5. Step 5: Solve for x
    x = 38,459,916,544/130,624
  6. Step 6: Final answer
    x = 294,432.24

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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.