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Finding the Third Proportional to 46,517 and 74,264

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Solution

The third proportional to 46,517 and 74,264 is: 118,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,517 : 74,264 = 74,264 : x
  2. Step 2: Convert to fraction form
    46,517/74,264 = 74,264/x
  3. Step 3: Cross multiply
    46,517x = 74,264 × 74,264
  4. Step 4: Simplify right side
    46,517x = 5,515,141,696
  5. Step 5: Solve for x
    x = 5,515,141,696/46,517
  6. Step 6: Final answer
    x = 118,561.85

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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.