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Finding the Third Proportional to 92,912 and 141,672

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Solution

The third proportional to 92,912 and 141,672 is: 216,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,912 : 141,672 = 141,672 : x
  2. Step 2: Convert to fraction form
    92,912/141,672 = 141,672/x
  3. Step 3: Cross multiply
    92,912x = 141,672 × 141,672
  4. Step 4: Simplify right side
    92,912x = 20,070,955,584
  5. Step 5: Solve for x
    x = 20,070,955,584/92,912
  6. Step 6: Final answer
    x = 216,021.13

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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.