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Finding the Third Proportional to 72,922 and 157,508

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Solution

The third proportional to 72,922 and 157,508 is: 340,209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,922 : 157,508 = 157,508 : x
  2. Step 2: Convert to fraction form
    72,922/157,508 = 157,508/x
  3. Step 3: Cross multiply
    72,922x = 157,508 × 157,508
  4. Step 4: Simplify right side
    72,922x = 24,808,770,064
  5. Step 5: Solve for x
    x = 24,808,770,064/72,922
  6. Step 6: Final answer
    x = 340,209.68

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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.