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Finding the Third Proportional to 111,734.44 and 143,461.13

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Solution

The third proportional to 111,734.44 and 143,461.13 is: 184,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,734.44 : 143,461.13 = 143,461.13 : x
  2. Step 2: Convert to fraction form
    111,734.44/143,461.13 = 143,461.13/x
  3. Step 3: Cross multiply
    111,734.44x = 143,461.13 × 143,461.13
  4. Step 4: Simplify right side
    111,734.44x = 20,581,094,386.27
  5. Step 5: Solve for x
    x = 20,581,094,386.27/111,734.44
  6. Step 6: Final answer
    x = 184,196.52

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.