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Finding the Third Proportional to 52,690 and 79,037

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Solution

The third proportional to 52,690 and 79,037 is: 118,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,690 : 79,037 = 79,037 : x
  2. Step 2: Convert to fraction form
    52,690/79,037 = 79,037/x
  3. Step 3: Cross multiply
    52,690x = 79,037 × 79,037
  4. Step 4: Simplify right side
    52,690x = 6,246,847,369
  5. Step 5: Solve for x
    x = 6,246,847,369/52,690
  6. Step 6: Final answer
    x = 118,558.50

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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.