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Finding the Third Proportional to 75,598 and 165,560

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Solution

The third proportional to 75,598 and 165,560 is: 362,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,598 : 165,560 = 165,560 : x
  2. Step 2: Convert to fraction form
    75,598/165,560 = 165,560/x
  3. Step 3: Cross multiply
    75,598x = 165,560 × 165,560
  4. Step 4: Simplify right side
    75,598x = 27,410,113,600
  5. Step 5: Solve for x
    x = 27,410,113,600/75,598
  6. Step 6: Final answer
    x = 362,577.23

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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.