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Finding the Third Proportional to 61,517.25 and 131,564.81

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Solution

The third proportional to 61,517.25 and 131,564.81 is: 281,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,517.25 : 131,564.81 = 131,564.81 : x
  2. Step 2: Convert to fraction form
    61,517.25/131,564.81 = 131,564.81/x
  3. Step 3: Cross multiply
    61,517.25x = 131,564.81 × 131,564.81
  4. Step 4: Simplify right side
    61,517.25x = 17,309,299,888.16
  5. Step 5: Solve for x
    x = 17,309,299,888.16/61,517.25
  6. Step 6: Final answer
    x = 281,373.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.