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Finding the Third Proportional to 113,096 and 245,680

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Solution

The third proportional to 113,096 and 245,680 is: 533,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,096 : 245,680 = 245,680 : x
  2. Step 2: Convert to fraction form
    113,096/245,680 = 245,680/x
  3. Step 3: Cross multiply
    113,096x = 245,680 × 245,680
  4. Step 4: Simplify right side
    113,096x = 60,358,662,400
  5. Step 5: Solve for x
    x = 60,358,662,400/113,096
  6. Step 6: Final answer
    x = 533,694.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.