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Finding the Third Proportional to 75,066 and 105,579

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Solution

The third proportional to 75,066 and 105,579 is: 148,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,066 : 105,579 = 105,579 : x
  2. Step 2: Convert to fraction form
    75,066/105,579 = 105,579/x
  3. Step 3: Cross multiply
    75,066x = 105,579 × 105,579
  4. Step 4: Simplify right side
    75,066x = 11,146,925,241
  5. Step 5: Solve for x
    x = 11,146,925,241/75,066
  6. Step 6: Final answer
    x = 148,494.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.