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Finding the Third Proportional to 73,021 and 112,755

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Solution

The third proportional to 73,021 and 112,755 is: 174,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,021 : 112,755 = 112,755 : x
  2. Step 2: Convert to fraction form
    73,021/112,755 = 112,755/x
  3. Step 3: Cross multiply
    73,021x = 112,755 × 112,755
  4. Step 4: Simplify right side
    73,021x = 12,713,690,025
  5. Step 5: Solve for x
    x = 12,713,690,025/73,021
  6. Step 6: Final answer
    x = 174,110.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.