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Finding the Third Proportional to 53,642.41 and 81,154.09

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Solution

The third proportional to 53,642.41 and 81,154.09 is: 122,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642.41 : 81,154.09 = 81,154.09 : x
  2. Step 2: Convert to fraction form
    53,642.41/81,154.09 = 81,154.09/x
  3. Step 3: Cross multiply
    53,642.41x = 81,154.09 × 81,154.09
  4. Step 4: Simplify right side
    53,642.41x = 6,585,986,298.37
  5. Step 5: Solve for x
    x = 6,585,986,298.37/53,642.41
  6. Step 6: Final answer
    x = 122,775.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.