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Finding the Third Proportional to 91,753 and 141,805

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Solution

The third proportional to 91,753 and 141,805 is: 219,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,753 : 141,805 = 141,805 : x
  2. Step 2: Convert to fraction form
    91,753/141,805 = 141,805/x
  3. Step 3: Cross multiply
    91,753x = 141,805 × 141,805
  4. Step 4: Simplify right side
    91,753x = 20,108,658,025
  5. Step 5: Solve for x
    x = 20,108,658,025/91,753
  6. Step 6: Final answer
    x = 219,160.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.