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Finding the Third Proportional to 75,829 and 118,942.50

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Solution

The third proportional to 75,829 and 118,942.50 is: 186,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,829 : 118,942.50 = 118,942.50 : x
  2. Step 2: Convert to fraction form
    75,829/118,942.50 = 118,942.50/x
  3. Step 3: Cross multiply
    75,829x = 118,942.50 × 118,942.50
  4. Step 4: Simplify right side
    75,829x = 14,147,318,306.25
  5. Step 5: Solve for x
    x = 14,147,318,306.25/75,829
  6. Step 6: Final answer
    x = 186,568.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.