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Finding the Third Proportional to 59,655 and 128,651.25

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Solution

The third proportional to 59,655 and 128,651.25 is: 277,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,655 : 128,651.25 = 128,651.25 : x
  2. Step 2: Convert to fraction form
    59,655/128,651.25 = 128,651.25/x
  3. Step 3: Cross multiply
    59,655x = 128,651.25 × 128,651.25
  4. Step 4: Simplify right side
    59,655x = 16,551,144,126.56
  5. Step 5: Solve for x
    x = 16,551,144,126.56/59,655
  6. Step 6: Final answer
    x = 277,447.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.