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Finding the Third Proportional to 43,113 and 64,404

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Solution

The third proportional to 43,113 and 64,404 is: 96,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,113 : 64,404 = 64,404 : x
  2. Step 2: Convert to fraction form
    43,113/64,404 = 64,404/x
  3. Step 3: Cross multiply
    43,113x = 64,404 × 64,404
  4. Step 4: Simplify right side
    43,113x = 4,147,875,216
  5. Step 5: Solve for x
    x = 4,147,875,216/43,113
  6. Step 6: Final answer
    x = 96,209.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.