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Finding the Third Proportional to 114,111 and 167,935.50

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Solution

The third proportional to 114,111 and 167,935.50 is: 247,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,111 : 167,935.50 = 167,935.50 : x
  2. Step 2: Convert to fraction form
    114,111/167,935.50 = 167,935.50/x
  3. Step 3: Cross multiply
    114,111x = 167,935.50 × 167,935.50
  4. Step 4: Simplify right side
    114,111x = 28,202,332,160.25
  5. Step 5: Solve for x
    x = 28,202,332,160.25/114,111
  6. Step 6: Final answer
    x = 247,148.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.