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Finding the Third Proportional to 72,189 and 112,210.50

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Solution

The third proportional to 72,189 and 112,210.50 is: 174,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,189 : 112,210.50 = 112,210.50 : x
  2. Step 2: Convert to fraction form
    72,189/112,210.50 = 112,210.50/x
  3. Step 3: Cross multiply
    72,189x = 112,210.50 × 112,210.50
  4. Step 4: Simplify right side
    72,189x = 12,591,196,310.25
  5. Step 5: Solve for x
    x = 12,591,196,310.25/72,189
  6. Step 6: Final answer
    x = 174,419.87

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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.