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Finding the Third Proportional to 76,459.57 and 165,221.02

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Solution

The third proportional to 76,459.57 and 165,221.02 is: 357,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,459.57 : 165,221.02 = 165,221.02 : x
  2. Step 2: Convert to fraction form
    76,459.57/165,221.02 = 165,221.02/x
  3. Step 3: Cross multiply
    76,459.57x = 165,221.02 × 165,221.02
  4. Step 4: Simplify right side
    76,459.57x = 27,297,984,004.16
  5. Step 5: Solve for x
    x = 27,297,984,004.16/76,459.57
  6. Step 6: Final answer
    x = 357,025.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.