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Finding the Third Proportional to 39,780 and 87,558

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Solution

The third proportional to 39,780 and 87,558 is: 192,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,780 : 87,558 = 87,558 : x
  2. Step 2: Convert to fraction form
    39,780/87,558 = 87,558/x
  3. Step 3: Cross multiply
    39,780x = 87,558 × 87,558
  4. Step 4: Simplify right side
    39,780x = 7,666,403,364
  5. Step 5: Solve for x
    x = 7,666,403,364/39,780
  6. Step 6: Final answer
    x = 192,720.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.