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Finding the Third Proportional to 112,709 and 168,710

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Solution

The third proportional to 112,709 and 168,710 is: 252,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,709 : 168,710 = 168,710 : x
  2. Step 2: Convert to fraction form
    112,709/168,710 = 168,710/x
  3. Step 3: Cross multiply
    112,709x = 168,710 × 168,710
  4. Step 4: Simplify right side
    112,709x = 28,463,064,100
  5. Step 5: Solve for x
    x = 28,463,064,100/112,709
  6. Step 6: Final answer
    x = 252,535.86

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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.