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Finding the Third Proportional to 92,916 and 141,558

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Solution

The third proportional to 92,916 and 141,558 is: 215,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,916 : 141,558 = 141,558 : x
  2. Step 2: Convert to fraction form
    92,916/141,558 = 141,558/x
  3. Step 3: Cross multiply
    92,916x = 141,558 × 141,558
  4. Step 4: Simplify right side
    92,916x = 20,038,667,364
  5. Step 5: Solve for x
    x = 20,038,667,364/92,916
  6. Step 6: Final answer
    x = 215,664.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.