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Finding the Third Proportional to 90,308.25 and 140,632.50

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Solution

The third proportional to 90,308.25 and 140,632.50 is: 218,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,308.25 : 140,632.50 = 140,632.50 : x
  2. Step 2: Convert to fraction form
    90,308.25/140,632.50 = 140,632.50/x
  3. Step 3: Cross multiply
    90,308.25x = 140,632.50 × 140,632.50
  4. Step 4: Simplify right side
    90,308.25x = 19,777,500,056.25
  5. Step 5: Solve for x
    x = 19,777,500,056.25/90,308.25
  6. Step 6: Final answer
    x = 218,999.93

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.