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Finding the Third Proportional to 112,567 and 158,320.50

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Solution

The third proportional to 112,567 and 158,320.50 is: 222,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,567 : 158,320.50 = 158,320.50 : x
  2. Step 2: Convert to fraction form
    112,567/158,320.50 = 158,320.50/x
  3. Step 3: Cross multiply
    112,567x = 158,320.50 × 158,320.50
  4. Step 4: Simplify right side
    112,567x = 25,065,380,720.25
  5. Step 5: Solve for x
    x = 25,065,380,720.25/112,567
  6. Step 6: Final answer
    x = 222,670.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.