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Finding the Third Proportional to 59,125.50 and 128,081.25

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Solution

The third proportional to 59,125.50 and 128,081.25 is: 277,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,125.50 : 128,081.25 = 128,081.25 : x
  2. Step 2: Convert to fraction form
    59,125.50/128,081.25 = 128,081.25/x
  3. Step 3: Cross multiply
    59,125.50x = 128,081.25 × 128,081.25
  4. Step 4: Simplify right side
    59,125.50x = 16,404,806,601.56
  5. Step 5: Solve for x
    x = 16,404,806,601.56/59,125.50
  6. Step 6: Final answer
    x = 277,457.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.