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Finding the Third Proportional to 136,059.75 and 295,736.06

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Solution

The third proportional to 136,059.75 and 295,736.06 is: 642,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,059.75 : 295,736.06 = 295,736.06 : x
  2. Step 2: Convert to fraction form
    136,059.75/295,736.06 = 295,736.06/x
  3. Step 3: Cross multiply
    136,059.75x = 295,736.06 × 295,736.06
  4. Step 4: Simplify right side
    136,059.75x = 87,459,818,663.00
  5. Step 5: Solve for x
    x = 87,459,818,663.00/136,059.75
  6. Step 6: Final answer
    x = 642,804.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.