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Finding the Third Proportional to 41,271 and 64,068

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Solution

The third proportional to 41,271 and 64,068 is: 99,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,271 : 64,068 = 64,068 : x
  2. Step 2: Convert to fraction form
    41,271/64,068 = 64,068/x
  3. Step 3: Cross multiply
    41,271x = 64,068 × 64,068
  4. Step 4: Simplify right side
    41,271x = 4,104,708,624
  5. Step 5: Solve for x
    x = 4,104,708,624/41,271
  6. Step 6: Final answer
    x = 99,457.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.