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Finding the Third Proportional to 71,808.50 and 113,653

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Solution

The third proportional to 71,808.50 and 113,653 is: 179,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,808.50 : 113,653 = 113,653 : x
  2. Step 2: Convert to fraction form
    71,808.50/113,653 = 113,653/x
  3. Step 3: Cross multiply
    71,808.50x = 113,653 × 113,653
  4. Step 4: Simplify right side
    71,808.50x = 12,917,004,409
  5. Step 5: Solve for x
    x = 12,917,004,409/71,808.50
  6. Step 6: Final answer
    x = 179,881.27

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.