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Finding the Third Proportional to 72,296 and 153,341

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Solution

The third proportional to 72,296 and 153,341 is: 325,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,296 : 153,341 = 153,341 : x
  2. Step 2: Convert to fraction form
    72,296/153,341 = 153,341/x
  3. Step 3: Cross multiply
    72,296x = 153,341 × 153,341
  4. Step 4: Simplify right side
    72,296x = 23,513,462,281
  5. Step 5: Solve for x
    x = 23,513,462,281/72,296
  6. Step 6: Final answer
    x = 325,238.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.