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Finding the Third Proportional to 72,922 and 159,341

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Solution

The third proportional to 72,922 and 159,341 is: 348,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,922 : 159,341 = 159,341 : x
  2. Step 2: Convert to fraction form
    72,922/159,341 = 159,341/x
  3. Step 3: Cross multiply
    72,922x = 159,341 × 159,341
  4. Step 4: Simplify right side
    72,922x = 25,389,554,281
  5. Step 5: Solve for x
    x = 25,389,554,281/72,922
  6. Step 6: Final answer
    x = 348,174.14

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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.