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Finding the Third Proportional to 108,494.50 and 164,271.75

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Solution

The third proportional to 108,494.50 and 164,271.75 is: 248,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,494.50 : 164,271.75 = 164,271.75 : x
  2. Step 2: Convert to fraction form
    108,494.50/164,271.75 = 164,271.75/x
  3. Step 3: Cross multiply
    108,494.50x = 164,271.75 × 164,271.75
  4. Step 4: Simplify right side
    108,494.50x = 26,985,207,848.06
  5. Step 5: Solve for x
    x = 26,985,207,848.06/108,494.50
  6. Step 6: Final answer
    x = 248,724.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.