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Finding the Third Proportional to 114,837.75 and 163,323.84

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Solution

The third proportional to 114,837.75 and 163,323.84 is: 232,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,837.75 : 163,323.84 = 163,323.84 : x
  2. Step 2: Convert to fraction form
    114,837.75/163,323.84 = 163,323.84/x
  3. Step 3: Cross multiply
    114,837.75x = 163,323.84 × 163,323.84
  4. Step 4: Simplify right side
    114,837.75x = 26,674,677,937.27
  5. Step 5: Solve for x
    x = 26,674,677,937.27/114,837.75
  6. Step 6: Final answer
    x = 232,281.44

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.