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Finding the Third Proportional to 59,225.25 and 129,522.75

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Solution

The third proportional to 59,225.25 and 129,522.75 is: 283,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,225.25 : 129,522.75 = 129,522.75 : x
  2. Step 2: Convert to fraction form
    59,225.25/129,522.75 = 129,522.75/x
  3. Step 3: Cross multiply
    59,225.25x = 129,522.75 × 129,522.75
  4. Step 4: Simplify right side
    59,225.25x = 16,776,142,767.56
  5. Step 5: Solve for x
    x = 16,776,142,767.56/59,225.25
  6. Step 6: Final answer
    x = 283,259.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.