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Finding the Third Proportional to 71,316 and 165,132

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Solution

The third proportional to 71,316 and 165,132 is: 382,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,316 : 165,132 = 165,132 : x
  2. Step 2: Convert to fraction form
    71,316/165,132 = 165,132/x
  3. Step 3: Cross multiply
    71,316x = 165,132 × 165,132
  4. Step 4: Simplify right side
    71,316x = 27,268,577,424
  5. Step 5: Solve for x
    x = 27,268,577,424/71,316
  6. Step 6: Final answer
    x = 382,362.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.