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Finding the Third Proportional to 48,154.50 and 116,012.25

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Solution

The third proportional to 48,154.50 and 116,012.25 is: 279,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,154.50 : 116,012.25 = 116,012.25 : x
  2. Step 2: Convert to fraction form
    48,154.50/116,012.25 = 116,012.25/x
  3. Step 3: Cross multiply
    48,154.50x = 116,012.25 × 116,012.25
  4. Step 4: Simplify right side
    48,154.50x = 13,458,842,150.06
  5. Step 5: Solve for x
    x = 13,458,842,150.06/48,154.50
  6. Step 6: Final answer
    x = 279,492.93

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.