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Finding the Third Proportional to 78,524.44 and 112,159.69

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Solution

The third proportional to 78,524.44 and 112,159.69 is: 160,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,524.44 : 112,159.69 = 112,159.69 : x
  2. Step 2: Convert to fraction form
    78,524.44/112,159.69 = 112,159.69/x
  3. Step 3: Cross multiply
    78,524.44x = 112,159.69 × 112,159.69
  4. Step 4: Simplify right side
    78,524.44x = 12,579,795,500.10
  5. Step 5: Solve for x
    x = 12,579,795,500.10/78,524.44
  6. Step 6: Final answer
    x = 160,202.30

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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.