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Finding the Third Proportional to 67,516 and 147,742

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Solution

The third proportional to 67,516 and 147,742 is: 323,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,516 : 147,742 = 147,742 : x
  2. Step 2: Convert to fraction form
    67,516/147,742 = 147,742/x
  3. Step 3: Cross multiply
    67,516x = 147,742 × 147,742
  4. Step 4: Simplify right side
    67,516x = 21,827,698,564
  5. Step 5: Solve for x
    x = 21,827,698,564/67,516
  6. Step 6: Final answer
    x = 323,296.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.