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Finding the Third Proportional to 75,460 and 165,320

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Solution

The third proportional to 75,460 and 165,320 is: 362,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,460 : 165,320 = 165,320 : x
  2. Step 2: Convert to fraction form
    75,460/165,320 = 165,320/x
  3. Step 3: Cross multiply
    75,460x = 165,320 × 165,320
  4. Step 4: Simplify right side
    75,460x = 27,330,702,400
  5. Step 5: Solve for x
    x = 27,330,702,400/75,460
  6. Step 6: Final answer
    x = 362,187.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.