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Finding the Third Proportional to 122,544 and 141,984

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Solution

The third proportional to 122,544 and 141,984 is: 164,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,544 : 141,984 = 141,984 : x
  2. Step 2: Convert to fraction form
    122,544/141,984 = 141,984/x
  3. Step 3: Cross multiply
    122,544x = 141,984 × 141,984
  4. Step 4: Simplify right side
    122,544x = 20,159,456,256
  5. Step 5: Solve for x
    x = 20,159,456,256/122,544
  6. Step 6: Final answer
    x = 164,507.90

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.