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Finding the Third Proportional to 75,402 and 116,829

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Solution

The third proportional to 75,402 and 116,829 is: 181,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,402 : 116,829 = 116,829 : x
  2. Step 2: Convert to fraction form
    75,402/116,829 = 116,829/x
  3. Step 3: Cross multiply
    75,402x = 116,829 × 116,829
  4. Step 4: Simplify right side
    75,402x = 13,649,015,241
  5. Step 5: Solve for x
    x = 13,649,015,241/75,402
  6. Step 6: Final answer
    x = 181,016.62

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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.