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Finding the Third Proportional to 46,014 and 93,963

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Solution

The third proportional to 46,014 and 93,963 is: 191,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,014 : 93,963 = 93,963 : x
  2. Step 2: Convert to fraction form
    46,014/93,963 = 93,963/x
  3. Step 3: Cross multiply
    46,014x = 93,963 × 93,963
  4. Step 4: Simplify right side
    46,014x = 8,829,045,369
  5. Step 5: Solve for x
    x = 8,829,045,369/46,014
  6. Step 6: Final answer
    x = 191,877.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.