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Finding the Third Proportional to 129,742.13 and 182,626.13

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Solution

The third proportional to 129,742.13 and 182,626.13 is: 257,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,742.13 : 182,626.13 = 182,626.13 : x
  2. Step 2: Convert to fraction form
    129,742.13/182,626.13 = 182,626.13/x
  3. Step 3: Cross multiply
    129,742.13x = 182,626.13 × 182,626.13
  4. Step 4: Simplify right side
    129,742.13x = 33,352,301,532.52
  5. Step 5: Solve for x
    x = 33,352,301,532.52/129,742.13
  6. Step 6: Final answer
    x = 257,066.10

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.