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Finding the Third Proportional to 114,544.13 and 163,620.63

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Solution

The third proportional to 114,544.13 and 163,620.63 is: 233,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,544.13 : 163,620.63 = 163,620.63 : x
  2. Step 2: Convert to fraction form
    114,544.13/163,620.63 = 163,620.63/x
  3. Step 3: Cross multiply
    114,544.13x = 163,620.63 × 163,620.63
  4. Step 4: Simplify right side
    114,544.13x = 26,771,711,481.96
  5. Step 5: Solve for x
    x = 26,771,711,481.96/114,544.13
  6. Step 6: Final answer
    x = 233,724.00

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.