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Finding the Third Proportional to 52,518.38 and 81,455.63

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Solution

The third proportional to 52,518.38 and 81,455.63 is: 126,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,518.38 : 81,455.63 = 81,455.63 : x
  2. Step 2: Convert to fraction form
    52,518.38/81,455.63 = 81,455.63/x
  3. Step 3: Cross multiply
    52,518.38x = 81,455.63 × 81,455.63
  4. Step 4: Simplify right side
    52,518.38x = 6,635,018,844.14
  5. Step 5: Solve for x
    x = 6,635,018,844.14/52,518.38
  6. Step 6: Final answer
    x = 126,337.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.