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Finding the Third Proportional to 75,539.25 and 164,565

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Solution

The third proportional to 75,539.25 and 164,565 is: 358,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,539.25 : 164,565 = 164,565 : x
  2. Step 2: Convert to fraction form
    75,539.25/164,565 = 164,565/x
  3. Step 3: Cross multiply
    75,539.25x = 164,565 × 164,565
  4. Step 4: Simplify right side
    75,539.25x = 27,081,639,225
  5. Step 5: Solve for x
    x = 27,081,639,225/75,539.25
  6. Step 6: Final answer
    x = 358,510.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.