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Finding the Third Proportional to 75,070.13 and 164,905.88

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Solution

The third proportional to 75,070.13 and 164,905.88 is: 362,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,070.13 : 164,905.88 = 164,905.88 : x
  2. Step 2: Convert to fraction form
    75,070.13/164,905.88 = 164,905.88/x
  3. Step 3: Cross multiply
    75,070.13x = 164,905.88 × 164,905.88
  4. Step 4: Simplify right side
    75,070.13x = 27,193,947,609.52
  5. Step 5: Solve for x
    x = 27,193,947,609.52/75,070.13
  6. Step 6: Final answer
    x = 362,247.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.