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Finding the Third Proportional to 31,756 and 74,854

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Solution

The third proportional to 31,756 and 74,854 is: 176,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756 : 74,854 = 74,854 : x
  2. Step 2: Convert to fraction form
    31,756/74,854 = 74,854/x
  3. Step 3: Cross multiply
    31,756x = 74,854 × 74,854
  4. Step 4: Simplify right side
    31,756x = 5,603,121,316
  5. Step 5: Solve for x
    x = 5,603,121,316/31,756
  6. Step 6: Final answer
    x = 176,442.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.