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Finding the Third Proportional to 71,034 and 144,516

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Solution

The third proportional to 71,034 and 144,516 is: 294,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,034 : 144,516 = 144,516 : x
  2. Step 2: Convert to fraction form
    71,034/144,516 = 144,516/x
  3. Step 3: Cross multiply
    71,034x = 144,516 × 144,516
  4. Step 4: Simplify right side
    71,034x = 20,884,874,256
  5. Step 5: Solve for x
    x = 20,884,874,256/71,034
  6. Step 6: Final answer
    x = 294,012.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.