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Finding the Third Proportional to 90,712.97 and 143,026.64

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Solution

The third proportional to 90,712.97 and 143,026.64 is: 225,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,712.97 : 143,026.64 = 143,026.64 : x
  2. Step 2: Convert to fraction form
    90,712.97/143,026.64 = 143,026.64/x
  3. Step 3: Cross multiply
    90,712.97x = 143,026.64 × 143,026.64
  4. Step 4: Simplify right side
    90,712.97x = 20,456,619,928.47
  5. Step 5: Solve for x
    x = 20,456,619,928.47/90,712.97
  6. Step 6: Final answer
    x = 225,509.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.