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Finding the Third Proportional to 109,504 and 121,024

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Solution

The third proportional to 109,504 and 121,024 is: 133,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,504 : 121,024 = 121,024 : x
  2. Step 2: Convert to fraction form
    109,504/121,024 = 121,024/x
  3. Step 3: Cross multiply
    109,504x = 121,024 × 121,024
  4. Step 4: Simplify right side
    109,504x = 14,646,808,576
  5. Step 5: Solve for x
    x = 14,646,808,576/109,504
  6. Step 6: Final answer
    x = 133,755.92

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.