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Finding the Third Proportional to 85,024.50 and 127,090.50

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Solution

The third proportional to 85,024.50 and 127,090.50 is: 189,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,024.50 : 127,090.50 = 127,090.50 : x
  2. Step 2: Convert to fraction form
    85,024.50/127,090.50 = 127,090.50/x
  3. Step 3: Cross multiply
    85,024.50x = 127,090.50 × 127,090.50
  4. Step 4: Simplify right side
    85,024.50x = 16,151,995,190.25
  5. Step 5: Solve for x
    x = 16,151,995,190.25/85,024.50
  6. Step 6: Final answer
    x = 189,968.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.