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Finding the Third Proportional to 121,413 and 182,118.56

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Solution

The third proportional to 121,413 and 182,118.56 is: 273,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,413 : 182,118.56 = 182,118.56 : x
  2. Step 2: Convert to fraction form
    121,413/182,118.56 = 182,118.56/x
  3. Step 3: Cross multiply
    121,413x = 182,118.56 × 182,118.56
  4. Step 4: Simplify right side
    121,413x = 33,167,170,807.07
  5. Step 5: Solve for x
    x = 33,167,170,807.07/121,413
  6. Step 6: Final answer
    x = 273,176.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.