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Finding the Third Proportional to 72,567 and 112,132

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Solution

The third proportional to 72,567 and 112,132 is: 173,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,567 : 112,132 = 112,132 : x
  2. Step 2: Convert to fraction form
    72,567/112,132 = 112,132/x
  3. Step 3: Cross multiply
    72,567x = 112,132 × 112,132
  4. Step 4: Simplify right side
    72,567x = 12,573,585,424
  5. Step 5: Solve for x
    x = 12,573,585,424/72,567
  6. Step 6: Final answer
    x = 173,268.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.