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Finding the Third Proportional to 73,564.88 and 104,122.88

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Solution

The third proportional to 73,564.88 and 104,122.88 is: 147,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564.88 : 104,122.88 = 104,122.88 : x
  2. Step 2: Convert to fraction form
    73,564.88/104,122.88 = 104,122.88/x
  3. Step 3: Cross multiply
    73,564.88x = 104,122.88 × 104,122.88
  4. Step 4: Simplify right side
    73,564.88x = 10,841,573,098.27
  5. Step 5: Solve for x
    x = 10,841,573,098.27/73,564.88
  6. Step 6: Final answer
    x = 147,374.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.