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Finding the Third Proportional to 113,926.50 and 123,403.50

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Solution

The third proportional to 113,926.50 and 123,403.50 is: 133,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,926.50 : 123,403.50 = 123,403.50 : x
  2. Step 2: Convert to fraction form
    113,926.50/123,403.50 = 123,403.50/x
  3. Step 3: Cross multiply
    113,926.50x = 123,403.50 × 123,403.50
  4. Step 4: Simplify right side
    113,926.50x = 15,228,423,812.25
  5. Step 5: Solve for x
    x = 15,228,423,812.25/113,926.50
  6. Step 6: Final answer
    x = 133,668.85

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.