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Finding the Third Proportional to 92,423 and 133,531

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Solution

The third proportional to 92,423 and 133,531 is: 192,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,423 : 133,531 = 133,531 : x
  2. Step 2: Convert to fraction form
    92,423/133,531 = 133,531/x
  3. Step 3: Cross multiply
    92,423x = 133,531 × 133,531
  4. Step 4: Simplify right side
    92,423x = 17,830,527,961
  5. Step 5: Solve for x
    x = 17,830,527,961/92,423
  6. Step 6: Final answer
    x = 192,923.06

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.