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Finding the Third Proportional to 36,146 and 55,659

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Solution

The third proportional to 36,146 and 55,659 is: 85,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,146 : 55,659 = 55,659 : x
  2. Step 2: Convert to fraction form
    36,146/55,659 = 55,659/x
  3. Step 3: Cross multiply
    36,146x = 55,659 × 55,659
  4. Step 4: Simplify right side
    36,146x = 3,097,924,281
  5. Step 5: Solve for x
    x = 3,097,924,281/36,146
  6. Step 6: Final answer
    x = 85,705.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.