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Finding the Third Proportional to 84,519 and 113,836.50

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Solution

The third proportional to 84,519 and 113,836.50 is: 153,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,519 : 113,836.50 = 113,836.50 : x
  2. Step 2: Convert to fraction form
    84,519/113,836.50 = 113,836.50/x
  3. Step 3: Cross multiply
    84,519x = 113,836.50 × 113,836.50
  4. Step 4: Simplify right side
    84,519x = 12,958,748,732.25
  5. Step 5: Solve for x
    x = 12,958,748,732.25/84,519
  6. Step 6: Final answer
    x = 153,323.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.