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Finding the Third Proportional to 108,742.50 and 236,162.25

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Solution

The third proportional to 108,742.50 and 236,162.25 is: 512,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,742.50 : 236,162.25 = 236,162.25 : x
  2. Step 2: Convert to fraction form
    108,742.50/236,162.25 = 236,162.25/x
  3. Step 3: Cross multiply
    108,742.50x = 236,162.25 × 236,162.25
  4. Step 4: Simplify right side
    108,742.50x = 55,772,608,325.06
  5. Step 5: Solve for x
    x = 55,772,608,325.06/108,742.50
  6. Step 6: Final answer
    x = 512,886.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.