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Finding the Third Proportional to 76,005 and 164,988.75

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Solution

The third proportional to 76,005 and 164,988.75 is: 358,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,005 : 164,988.75 = 164,988.75 : x
  2. Step 2: Convert to fraction form
    76,005/164,988.75 = 164,988.75/x
  3. Step 3: Cross multiply
    76,005x = 164,988.75 × 164,988.75
  4. Step 4: Simplify right side
    76,005x = 27,221,287,626.56
  5. Step 5: Solve for x
    x = 27,221,287,626.56/76,005
  6. Step 6: Final answer
    x = 358,151.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.