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Finding the Third Proportional to 40,245 and 59,131.50

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Solution

The third proportional to 40,245 and 59,131.50 is: 86,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,245 : 59,131.50 = 59,131.50 : x
  2. Step 2: Convert to fraction form
    40,245/59,131.50 = 59,131.50/x
  3. Step 3: Cross multiply
    40,245x = 59,131.50 × 59,131.50
  4. Step 4: Simplify right side
    40,245x = 3,496,534,292.25
  5. Step 5: Solve for x
    x = 3,496,534,292.25/40,245
  6. Step 6: Final answer
    x = 86,881.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.