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Finding the Third Proportional to 59,166.50 and 128,701

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Solution

The third proportional to 59,166.50 and 128,701 is: 279,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,166.50 : 128,701 = 128,701 : x
  2. Step 2: Convert to fraction form
    59,166.50/128,701 = 128,701/x
  3. Step 3: Cross multiply
    59,166.50x = 128,701 × 128,701
  4. Step 4: Simplify right side
    59,166.50x = 16,563,947,401
  5. Step 5: Solve for x
    x = 16,563,947,401/59,166.50
  6. Step 6: Final answer
    x = 279,954.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.