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Finding the Third Proportional to 60,698.25 and 123,804

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Solution

The third proportional to 60,698.25 and 123,804 is: 252,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,698.25 : 123,804 = 123,804 : x
  2. Step 2: Convert to fraction form
    60,698.25/123,804 = 123,804/x
  3. Step 3: Cross multiply
    60,698.25x = 123,804 × 123,804
  4. Step 4: Simplify right side
    60,698.25x = 15,327,430,416
  5. Step 5: Solve for x
    x = 15,327,430,416/60,698.25
  6. Step 6: Final answer
    x = 252,518.49

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.