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Finding the Third Proportional to 40,292 and 87,064

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Solution

The third proportional to 40,292 and 87,064 is: 188,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,292 : 87,064 = 87,064 : x
  2. Step 2: Convert to fraction form
    40,292/87,064 = 87,064/x
  3. Step 3: Cross multiply
    40,292x = 87,064 × 87,064
  4. Step 4: Simplify right side
    40,292x = 7,580,140,096
  5. Step 5: Solve for x
    x = 7,580,140,096/40,292
  6. Step 6: Final answer
    x = 188,130.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.