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Finding the Third Proportional to 61,816 and 134,956.50

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Solution

The third proportional to 61,816 and 134,956.50 is: 294,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,816 : 134,956.50 = 134,956.50 : x
  2. Step 2: Convert to fraction form
    61,816/134,956.50 = 134,956.50/x
  3. Step 3: Cross multiply
    61,816x = 134,956.50 × 134,956.50
  4. Step 4: Simplify right side
    61,816x = 18,213,256,892.25
  5. Step 5: Solve for x
    x = 18,213,256,892.25/61,816
  6. Step 6: Final answer
    x = 294,636.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.