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Finding the Third Proportional to 51,593.63 and 82,090.13

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Solution

The third proportional to 51,593.63 and 82,090.13 is: 130,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,593.63 : 82,090.13 = 82,090.13 : x
  2. Step 2: Convert to fraction form
    51,593.63/82,090.13 = 82,090.13/x
  3. Step 3: Cross multiply
    51,593.63x = 82,090.13 × 82,090.13
  4. Step 4: Simplify right side
    51,593.63x = 6,738,788,622.52
  5. Step 5: Solve for x
    x = 6,738,788,622.52/51,593.63
  6. Step 6: Final answer
    x = 130,612.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.