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Finding the Third Proportional to 53,158 and 72,225

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Solution

The third proportional to 53,158 and 72,225 is: 98,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,158 : 72,225 = 72,225 : x
  2. Step 2: Convert to fraction form
    53,158/72,225 = 72,225/x
  3. Step 3: Cross multiply
    53,158x = 72,225 × 72,225
  4. Step 4: Simplify right side
    53,158x = 5,216,450,625
  5. Step 5: Solve for x
    x = 5,216,450,625/53,158
  6. Step 6: Final answer
    x = 98,131.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.