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Finding the Third Proportional to 64,105 and 140,274.50

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Solution

The third proportional to 64,105 and 140,274.50 is: 306,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,105 : 140,274.50 = 140,274.50 : x
  2. Step 2: Convert to fraction form
    64,105/140,274.50 = 140,274.50/x
  3. Step 3: Cross multiply
    64,105x = 140,274.50 × 140,274.50
  4. Step 4: Simplify right side
    64,105x = 19,676,935,350.25
  5. Step 5: Solve for x
    x = 19,676,935,350.25/64,105
  6. Step 6: Final answer
    x = 306,948.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.