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Finding the Third Proportional to 94,446 and 142,579

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Solution

The third proportional to 94,446 and 142,579 is: 215,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,446 : 142,579 = 142,579 : x
  2. Step 2: Convert to fraction form
    94,446/142,579 = 142,579/x
  3. Step 3: Cross multiply
    94,446x = 142,579 × 142,579
  4. Step 4: Simplify right side
    94,446x = 20,328,771,241
  5. Step 5: Solve for x
    x = 20,328,771,241/94,446
  6. Step 6: Final answer
    x = 215,242.27

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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.