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Finding the Third Proportional to 75,392 and 165,688

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Solution

The third proportional to 75,392 and 165,688 is: 364,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,392 : 165,688 = 165,688 : x
  2. Step 2: Convert to fraction form
    75,392/165,688 = 165,688/x
  3. Step 3: Cross multiply
    75,392x = 165,688 × 165,688
  4. Step 4: Simplify right side
    75,392x = 27,452,513,344
  5. Step 5: Solve for x
    x = 27,452,513,344/75,392
  6. Step 6: Final answer
    x = 364,130.32

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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.