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Finding the Third Proportional to 61,457.25 and 133,729.75

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Solution

The third proportional to 61,457.25 and 133,729.75 is: 290,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,457.25 : 133,729.75 = 133,729.75 : x
  2. Step 2: Convert to fraction form
    61,457.25/133,729.75 = 133,729.75/x
  3. Step 3: Cross multiply
    61,457.25x = 133,729.75 × 133,729.75
  4. Step 4: Simplify right side
    61,457.25x = 17,883,646,035.06
  5. Step 5: Solve for x
    x = 17,883,646,035.06/61,457.25
  6. Step 6: Final answer
    x = 290,993.27

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Why These Related Problems?

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