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Finding the Third Proportional to 46,674 and 74,232

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Solution

The third proportional to 46,674 and 74,232 is: 118,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,674 : 74,232 = 74,232 : x
  2. Step 2: Convert to fraction form
    46,674/74,232 = 74,232/x
  3. Step 3: Cross multiply
    46,674x = 74,232 × 74,232
  4. Step 4: Simplify right side
    46,674x = 5,510,389,824
  5. Step 5: Solve for x
    x = 5,510,389,824/46,674
  6. Step 6: Final answer
    x = 118,061.23

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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.