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Finding the Third Proportional to 127,828.50 and 200,086.50

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Solution

The third proportional to 127,828.50 and 200,086.50 is: 313,190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,828.50 : 200,086.50 = 200,086.50 : x
  2. Step 2: Convert to fraction form
    127,828.50/200,086.50 = 200,086.50/x
  3. Step 3: Cross multiply
    127,828.50x = 200,086.50 × 200,086.50
  4. Step 4: Simplify right side
    127,828.50x = 40,034,607,482.25
  5. Step 5: Solve for x
    x = 40,034,607,482.25/127,828.50
  6. Step 6: Final answer
    x = 313,190.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.