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Finding the Third Proportional to 46,878 and 74,735

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Solution

The third proportional to 46,878 and 74,735 is: 119,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,878 : 74,735 = 74,735 : x
  2. Step 2: Convert to fraction form
    46,878/74,735 = 74,735/x
  3. Step 3: Cross multiply
    46,878x = 74,735 × 74,735
  4. Step 4: Simplify right side
    46,878x = 5,585,320,225
  5. Step 5: Solve for x
    x = 5,585,320,225/46,878
  6. Step 6: Final answer
    x = 119,145.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.