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Finding the Third Proportional to 127,190.25 and 201,355.88

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Solution

The third proportional to 127,190.25 and 201,355.88 is: 318,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,190.25 : 201,355.88 = 201,355.88 : x
  2. Step 2: Convert to fraction form
    127,190.25/201,355.88 = 201,355.88/x
  3. Step 3: Cross multiply
    127,190.25x = 201,355.88 × 201,355.88
  4. Step 4: Simplify right side
    127,190.25x = 40,544,188,397.02
  5. Step 5: Solve for x
    x = 40,544,188,397.02/127,190.25
  6. Step 6: Final answer
    x = 318,768.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.