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Finding the Third Proportional to 73,166 and 172,541

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Solution

The third proportional to 73,166 and 172,541 is: 406,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,166 : 172,541 = 172,541 : x
  2. Step 2: Convert to fraction form
    73,166/172,541 = 172,541/x
  3. Step 3: Cross multiply
    73,166x = 172,541 × 172,541
  4. Step 4: Simplify right side
    73,166x = 29,770,396,681
  5. Step 5: Solve for x
    x = 29,770,396,681/73,166
  6. Step 6: Final answer
    x = 406,888.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.