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Finding the Third Proportional to 56,096 and 121,112

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Solution

The third proportional to 56,096 and 121,112 is: 261,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,096 : 121,112 = 121,112 : x
  2. Step 2: Convert to fraction form
    56,096/121,112 = 121,112/x
  3. Step 3: Cross multiply
    56,096x = 121,112 × 121,112
  4. Step 4: Simplify right side
    56,096x = 14,668,116,544
  5. Step 5: Solve for x
    x = 14,668,116,544/56,096
  6. Step 6: Final answer
    x = 261,482.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.