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Finding the Third Proportional to 109,629 and 164,003.50

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Solution

The third proportional to 109,629 and 164,003.50 is: 245,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,629 : 164,003.50 = 164,003.50 : x
  2. Step 2: Convert to fraction form
    109,629/164,003.50 = 164,003.50/x
  3. Step 3: Cross multiply
    109,629x = 164,003.50 × 164,003.50
  4. Step 4: Simplify right side
    109,629x = 26,897,148,012.25
  5. Step 5: Solve for x
    x = 26,897,148,012.25/109,629
  6. Step 6: Final answer
    x = 245,347.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.