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Finding the Third Proportional to 59,563.50 and 127,763.63

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Solution

The third proportional to 59,563.50 and 127,763.63 is: 274,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,563.50 : 127,763.63 = 127,763.63 : x
  2. Step 2: Convert to fraction form
    59,563.50/127,763.63 = 127,763.63/x
  3. Step 3: Cross multiply
    59,563.50x = 127,763.63 × 127,763.63
  4. Step 4: Simplify right side
    59,563.50x = 16,323,543,873.14
  5. Step 5: Solve for x
    x = 16,323,543,873.14/59,563.50
  6. Step 6: Final answer
    x = 274,052.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.