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Finding the Third Proportional to 84,064.50 and 175,918.50

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Solution

The third proportional to 84,064.50 and 175,918.50 is: 368,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,064.50 : 175,918.50 = 175,918.50 : x
  2. Step 2: Convert to fraction form
    84,064.50/175,918.50 = 175,918.50/x
  3. Step 3: Cross multiply
    84,064.50x = 175,918.50 × 175,918.50
  4. Step 4: Simplify right side
    84,064.50x = 30,947,318,642.25
  5. Step 5: Solve for x
    x = 30,947,318,642.25/84,064.50
  6. Step 6: Final answer
    x = 368,137.78

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.