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Finding the Third Proportional to 43,106 and 64,710

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Solution

The third proportional to 43,106 and 64,710 is: 97,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,106 : 64,710 = 64,710 : x
  2. Step 2: Convert to fraction form
    43,106/64,710 = 64,710/x
  3. Step 3: Cross multiply
    43,106x = 64,710 × 64,710
  4. Step 4: Simplify right side
    43,106x = 4,187,384,100
  5. Step 5: Solve for x
    x = 4,187,384,100/43,106
  6. Step 6: Final answer
    x = 97,141.56

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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.