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Finding the Third Proportional to 78,652 and 109,554

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Solution

The third proportional to 78,652 and 109,554 is: 152,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,652 : 109,554 = 109,554 : x
  2. Step 2: Convert to fraction form
    78,652/109,554 = 109,554/x
  3. Step 3: Cross multiply
    78,652x = 109,554 × 109,554
  4. Step 4: Simplify right side
    78,652x = 12,002,078,916
  5. Step 5: Solve for x
    x = 12,002,078,916/78,652
  6. Step 6: Final answer
    x = 152,597.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.