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Finding the Third Proportional to 61,536.25 and 134,461.75

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Solution

The third proportional to 61,536.25 and 134,461.75 is: 293,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,536.25 : 134,461.75 = 134,461.75 : x
  2. Step 2: Convert to fraction form
    61,536.25/134,461.75 = 134,461.75/x
  3. Step 3: Cross multiply
    61,536.25x = 134,461.75 × 134,461.75
  4. Step 4: Simplify right side
    61,536.25x = 18,079,962,213.06
  5. Step 5: Solve for x
    x = 18,079,962,213.06/61,536.25
  6. Step 6: Final answer
    x = 293,809.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.