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Finding the Third Proportional to 61,934.50 and 133,805

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Solution

The third proportional to 61,934.50 and 133,805 is: 289,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,934.50 : 133,805 = 133,805 : x
  2. Step 2: Convert to fraction form
    61,934.50/133,805 = 133,805/x
  3. Step 3: Cross multiply
    61,934.50x = 133,805 × 133,805
  4. Step 4: Simplify right side
    61,934.50x = 17,903,778,025
  5. Step 5: Solve for x
    x = 17,903,778,025/61,934.50
  6. Step 6: Final answer
    x = 289,076.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.