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Finding the Third Proportional to 75,166 and 174,787

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Solution

The third proportional to 75,166 and 174,787 is: 406,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,166 : 174,787 = 174,787 : x
  2. Step 2: Convert to fraction form
    75,166/174,787 = 174,787/x
  3. Step 3: Cross multiply
    75,166x = 174,787 × 174,787
  4. Step 4: Simplify right side
    75,166x = 30,550,495,369
  5. Step 5: Solve for x
    x = 30,550,495,369/75,166
  6. Step 6: Final answer
    x = 406,440.35

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.