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Finding the Third Proportional to 59,384.25 and 123,683.25

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Solution

The third proportional to 59,384.25 and 123,683.25 is: 257,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,384.25 : 123,683.25 = 123,683.25 : x
  2. Step 2: Convert to fraction form
    59,384.25/123,683.25 = 123,683.25/x
  3. Step 3: Cross multiply
    59,384.25x = 123,683.25 × 123,683.25
  4. Step 4: Simplify right side
    59,384.25x = 15,297,546,330.56
  5. Step 5: Solve for x
    x = 15,297,546,330.56/59,384.25
  6. Step 6: Final answer
    x = 257,602.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.