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Finding the Third Proportional to 72,996 and 157,385

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Solution

The third proportional to 72,996 and 157,385 is: 339,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,996 : 157,385 = 157,385 : x
  2. Step 2: Convert to fraction form
    72,996/157,385 = 157,385/x
  3. Step 3: Cross multiply
    72,996x = 157,385 × 157,385
  4. Step 4: Simplify right side
    72,996x = 24,770,038,225
  5. Step 5: Solve for x
    x = 24,770,038,225/72,996
  6. Step 6: Final answer
    x = 339,334.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.