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Finding the Third Proportional to 112,152.94 and 159,966.56

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Solution

The third proportional to 112,152.94 and 159,966.56 is: 228,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,152.94 : 159,966.56 = 159,966.56 : x
  2. Step 2: Convert to fraction form
    112,152.94/159,966.56 = 159,966.56/x
  3. Step 3: Cross multiply
    112,152.94x = 159,966.56 × 159,966.56
  4. Step 4: Simplify right side
    112,152.94x = 25,589,301,118.07
  5. Step 5: Solve for x
    x = 25,589,301,118.07/112,152.94
  6. Step 6: Final answer
    x = 228,164.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.