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Finding the Third Proportional to 73,972.13 and 104,668.88

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Solution

The third proportional to 73,972.13 and 104,668.88 is: 148,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,972.13 : 104,668.88 = 104,668.88 : x
  2. Step 2: Convert to fraction form
    73,972.13/104,668.88 = 104,668.88/x
  3. Step 3: Cross multiply
    73,972.13x = 104,668.88 × 104,668.88
  4. Step 4: Simplify right side
    73,972.13x = 10,955,573,393.77
  5. Step 5: Solve for x
    x = 10,955,573,393.77/73,972.13
  6. Step 6: Final answer
    x = 148,104.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.