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Finding the Third Proportional to 59,166.50 and 129,175

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Solution

The third proportional to 59,166.50 and 129,175 is: 282,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,166.50 : 129,175 = 129,175 : x
  2. Step 2: Convert to fraction form
    59,166.50/129,175 = 129,175/x
  3. Step 3: Cross multiply
    59,166.50x = 129,175 × 129,175
  4. Step 4: Simplify right side
    59,166.50x = 16,686,180,625
  5. Step 5: Solve for x
    x = 16,686,180,625/59,166.50
  6. Step 6: Final answer
    x = 282,020.75

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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.