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Finding the Third Proportional to 121,664 and 179,337

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Solution

The third proportional to 121,664 and 179,337 is: 264,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,664 : 179,337 = 179,337 : x
  2. Step 2: Convert to fraction form
    121,664/179,337 = 179,337/x
  3. Step 3: Cross multiply
    121,664x = 179,337 × 179,337
  4. Step 4: Simplify right side
    121,664x = 32,161,759,569
  5. Step 5: Solve for x
    x = 32,161,759,569/121,664
  6. Step 6: Final answer
    x = 264,349.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.