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Finding the Third Proportional to 72,634 and 114,135

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Solution

The third proportional to 72,634 and 114,135 is: 179,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,634 : 114,135 = 114,135 : x
  2. Step 2: Convert to fraction form
    72,634/114,135 = 114,135/x
  3. Step 3: Cross multiply
    72,634x = 114,135 × 114,135
  4. Step 4: Simplify right side
    72,634x = 13,026,798,225
  5. Step 5: Solve for x
    x = 13,026,798,225/72,634
  6. Step 6: Final answer
    x = 179,348.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.