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Finding the Third Proportional to 96,060.94 and 165,056.06

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Solution

The third proportional to 96,060.94 and 165,056.06 is: 283,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,060.94 : 165,056.06 = 165,056.06 : x
  2. Step 2: Convert to fraction form
    96,060.94/165,056.06 = 165,056.06/x
  3. Step 3: Cross multiply
    96,060.94x = 165,056.06 × 165,056.06
  4. Step 4: Simplify right side
    96,060.94x = 27,243,503,768.00
  5. Step 5: Solve for x
    x = 27,243,503,768.00/96,060.94
  6. Step 6: Final answer
    x = 283,606.47

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.