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Finding the Third Proportional to 92,286 and 141,475.50

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Solution

The third proportional to 92,286 and 141,475.50 is: 216,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,286 : 141,475.50 = 141,475.50 : x
  2. Step 2: Convert to fraction form
    92,286/141,475.50 = 141,475.50/x
  3. Step 3: Cross multiply
    92,286x = 141,475.50 × 141,475.50
  4. Step 4: Simplify right side
    92,286x = 20,015,317,100.25
  5. Step 5: Solve for x
    x = 20,015,317,100.25/92,286
  6. Step 6: Final answer
    x = 216,883.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.