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Finding the Third Proportional to 73,482 and 113,574

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Solution

The third proportional to 73,482 and 113,574 is: 175,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,482 : 113,574 = 113,574 : x
  2. Step 2: Convert to fraction form
    73,482/113,574 = 113,574/x
  3. Step 3: Cross multiply
    73,482x = 113,574 × 113,574
  4. Step 4: Simplify right side
    73,482x = 12,899,053,476
  5. Step 5: Solve for x
    x = 12,899,053,476/73,482
  6. Step 6: Final answer
    x = 175,540.32

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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.