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Finding the Third Proportional to 75,422 and 165,784

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Solution

The third proportional to 75,422 and 165,784 is: 364,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,422 : 165,784 = 165,784 : x
  2. Step 2: Convert to fraction form
    75,422/165,784 = 165,784/x
  3. Step 3: Cross multiply
    75,422x = 165,784 × 165,784
  4. Step 4: Simplify right side
    75,422x = 27,484,334,656
  5. Step 5: Solve for x
    x = 27,484,334,656/75,422
  6. Step 6: Final answer
    x = 364,407.40

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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.