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Finding the Third Proportional to 46,124 and 67,656

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Solution

The third proportional to 46,124 and 67,656 is: 99,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,124 : 67,656 = 67,656 : x
  2. Step 2: Convert to fraction form
    46,124/67,656 = 67,656/x
  3. Step 3: Cross multiply
    46,124x = 67,656 × 67,656
  4. Step 4: Simplify right side
    46,124x = 4,577,334,336
  5. Step 5: Solve for x
    x = 4,577,334,336/46,124
  6. Step 6: Final answer
    x = 99,239.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.