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Finding the Third Proportional to 81,296.16 and 125,114.63

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Solution

The third proportional to 81,296.16 and 125,114.63 is: 192,551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,296.16 : 125,114.63 = 125,114.63 : x
  2. Step 2: Convert to fraction form
    81,296.16/125,114.63 = 125,114.63/x
  3. Step 3: Cross multiply
    81,296.16x = 125,114.63 × 125,114.63
  4. Step 4: Simplify right side
    81,296.16x = 15,653,669,388.89
  5. Step 5: Solve for x
    x = 15,653,669,388.89/81,296.16
  6. Step 6: Final answer
    x = 192,551.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.