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Finding the Third Proportional to 75,354 and 114,001

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Solution

The third proportional to 75,354 and 114,001 is: 172,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,354 : 114,001 = 114,001 : x
  2. Step 2: Convert to fraction form
    75,354/114,001 = 114,001/x
  3. Step 3: Cross multiply
    75,354x = 114,001 × 114,001
  4. Step 4: Simplify right side
    75,354x = 12,996,228,001
  5. Step 5: Solve for x
    x = 12,996,228,001/75,354
  6. Step 6: Final answer
    x = 172,468.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.