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Finding the Third Proportional to 92,402 and 143,019

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Solution

The third proportional to 92,402 and 143,019 is: 221,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,402 : 143,019 = 143,019 : x
  2. Step 2: Convert to fraction form
    92,402/143,019 = 143,019/x
  3. Step 3: Cross multiply
    92,402x = 143,019 × 143,019
  4. Step 4: Simplify right side
    92,402x = 20,454,434,361
  5. Step 5: Solve for x
    x = 20,454,434,361/92,402
  6. Step 6: Final answer
    x = 221,363.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.