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Finding the Third Proportional to 46,512 and 74,256

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Solution

The third proportional to 46,512 and 74,256 is: 118,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,512 : 74,256 = 74,256 : x
  2. Step 2: Convert to fraction form
    46,512/74,256 = 74,256/x
  3. Step 3: Cross multiply
    46,512x = 74,256 × 74,256
  4. Step 4: Simplify right side
    46,512x = 5,513,953,536
  5. Step 5: Solve for x
    x = 5,513,953,536/46,512
  6. Step 6: Final answer
    x = 118,549.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.