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Finding the Third Proportional to 75,584 and 165,712

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Solution

The third proportional to 75,584 and 165,712 is: 363,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,584 : 165,712 = 165,712 : x
  2. Step 2: Convert to fraction form
    75,584/165,712 = 165,712/x
  3. Step 3: Cross multiply
    75,584x = 165,712 × 165,712
  4. Step 4: Simplify right side
    75,584x = 27,460,466,944
  5. Step 5: Solve for x
    x = 27,460,466,944/75,584
  6. Step 6: Final answer
    x = 363,310.58

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