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Finding the Third Proportional to 71,253 and 150,516

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Solution

The third proportional to 71,253 and 150,516 is: 317,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,253 : 150,516 = 150,516 : x
  2. Step 2: Convert to fraction form
    71,253/150,516 = 150,516/x
  3. Step 3: Cross multiply
    71,253x = 150,516 × 150,516
  4. Step 4: Simplify right side
    71,253x = 22,655,066,256
  5. Step 5: Solve for x
    x = 22,655,066,256/71,253
  6. Step 6: Final answer
    x = 317,952.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.