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Finding the Third Proportional to 84,852.75 and 167,564.63

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Solution

The third proportional to 84,852.75 and 167,564.63 is: 330,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,852.75 : 167,564.63 = 167,564.63 : x
  2. Step 2: Convert to fraction form
    84,852.75/167,564.63 = 167,564.63/x
  3. Step 3: Cross multiply
    84,852.75x = 167,564.63 × 167,564.63
  4. Step 4: Simplify right side
    84,852.75x = 28,077,903,551.39
  5. Step 5: Solve for x
    x = 28,077,903,551.39/84,852.75
  6. Step 6: Final answer
    x = 330,901.52

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.