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Finding the Third Proportional to 58,661 and 79,701

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Solution

The third proportional to 58,661 and 79,701 is: 108,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,661 : 79,701 = 79,701 : x
  2. Step 2: Convert to fraction form
    58,661/79,701 = 79,701/x
  3. Step 3: Cross multiply
    58,661x = 79,701 × 79,701
  4. Step 4: Simplify right side
    58,661x = 6,352,249,401
  5. Step 5: Solve for x
    x = 6,352,249,401/58,661
  6. Step 6: Final answer
    x = 108,287.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.