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Finding the Third Proportional to 127,729 and 170,845.50

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Solution

The third proportional to 127,729 and 170,845.50 is: 228,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,729 : 170,845.50 = 170,845.50 : x
  2. Step 2: Convert to fraction form
    127,729/170,845.50 = 170,845.50/x
  3. Step 3: Cross multiply
    127,729x = 170,845.50 × 170,845.50
  4. Step 4: Simplify right side
    127,729x = 29,188,184,870.25
  5. Step 5: Solve for x
    x = 29,188,184,870.25/127,729
  6. Step 6: Final answer
    x = 228,516.51

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.