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Finding the Third Proportional to 59,185.50 and 79,741.50

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Solution

The third proportional to 59,185.50 and 79,741.50 is: 107,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,185.50 : 79,741.50 = 79,741.50 : x
  2. Step 2: Convert to fraction form
    59,185.50/79,741.50 = 79,741.50/x
  3. Step 3: Cross multiply
    59,185.50x = 79,741.50 × 79,741.50
  4. Step 4: Simplify right side
    59,185.50x = 6,358,706,822.25
  5. Step 5: Solve for x
    x = 6,358,706,822.25/59,185.50
  6. Step 6: Final answer
    x = 107,436.90

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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.