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Finding the Third Proportional to 113,673.38 and 173,962.69

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Solution

The third proportional to 113,673.38 and 173,962.69 is: 266,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,673.38 : 173,962.69 = 173,962.69 : x
  2. Step 2: Convert to fraction form
    113,673.38/173,962.69 = 173,962.69/x
  3. Step 3: Cross multiply
    113,673.38x = 173,962.69 × 173,962.69
  4. Step 4: Simplify right side
    113,673.38x = 30,263,016,642.22
  5. Step 5: Solve for x
    x = 30,263,016,642.22/113,673.38
  6. Step 6: Final answer
    x = 266,227.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.