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Finding the Third Proportional to 52,695 and 79,044

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Solution

The third proportional to 52,695 and 79,044 is: 118,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,695 : 79,044 = 79,044 : x
  2. Step 2: Convert to fraction form
    52,695/79,044 = 79,044/x
  3. Step 3: Cross multiply
    52,695x = 79,044 × 79,044
  4. Step 4: Simplify right side
    52,695x = 6,247,953,936
  5. Step 5: Solve for x
    x = 6,247,953,936/52,695
  6. Step 6: Final answer
    x = 118,568.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.