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Finding the Third Proportional to 122,746 and 180,231

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Solution

The third proportional to 122,746 and 180,231 is: 264,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,746 : 180,231 = 180,231 : x
  2. Step 2: Convert to fraction form
    122,746/180,231 = 180,231/x
  3. Step 3: Cross multiply
    122,746x = 180,231 × 180,231
  4. Step 4: Simplify right side
    122,746x = 32,483,213,361
  5. Step 5: Solve for x
    x = 32,483,213,361/122,746
  6. Step 6: Final answer
    x = 264,637.65

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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.