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Finding the Third Proportional to 75,552 and 165,600

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Solution

The third proportional to 75,552 and 165,600 is: 362,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,552 : 165,600 = 165,600 : x
  2. Step 2: Convert to fraction form
    75,552/165,600 = 165,600/x
  3. Step 3: Cross multiply
    75,552x = 165,600 × 165,600
  4. Step 4: Simplify right side
    75,552x = 27,423,360,000
  5. Step 5: Solve for x
    x = 27,423,360,000/75,552
  6. Step 6: Final answer
    x = 362,973.32

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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.