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Finding the Third Proportional to 73,851 and 162,465

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Solution

The third proportional to 73,851 and 162,465 is: 357,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,851 : 162,465 = 162,465 : x
  2. Step 2: Convert to fraction form
    73,851/162,465 = 162,465/x
  3. Step 3: Cross multiply
    73,851x = 162,465 × 162,465
  4. Step 4: Simplify right side
    73,851x = 26,394,876,225
  5. Step 5: Solve for x
    x = 26,394,876,225/73,851
  6. Step 6: Final answer
    x = 357,407.16

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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.