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Finding the Third Proportional to 59,770.50 and 128,762.50

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Solution

The third proportional to 59,770.50 and 128,762.50 is: 277,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,770.50 : 128,762.50 = 128,762.50 : x
  2. Step 2: Convert to fraction form
    59,770.50/128,762.50 = 128,762.50/x
  3. Step 3: Cross multiply
    59,770.50x = 128,762.50 × 128,762.50
  4. Step 4: Simplify right side
    59,770.50x = 16,579,781,406.25
  5. Step 5: Solve for x
    x = 16,579,781,406.25/59,770.50
  6. Step 6: Final answer
    x = 277,390.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.