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Finding the Third Proportional to 73,278 and 113,742

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Solution

The third proportional to 73,278 and 113,742 is: 176,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,278 : 113,742 = 113,742 : x
  2. Step 2: Convert to fraction form
    73,278/113,742 = 113,742/x
  3. Step 3: Cross multiply
    73,278x = 113,742 × 113,742
  4. Step 4: Simplify right side
    73,278x = 12,937,242,564
  5. Step 5: Solve for x
    x = 12,937,242,564/73,278
  6. Step 6: Final answer
    x = 176,550.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.