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Finding the Third Proportional to 46,133.50 and 68,960

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Solution

The third proportional to 46,133.50 and 68,960 is: 103,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,133.50 : 68,960 = 68,960 : x
  2. Step 2: Convert to fraction form
    46,133.50/68,960 = 68,960/x
  3. Step 3: Cross multiply
    46,133.50x = 68,960 × 68,960
  4. Step 4: Simplify right side
    46,133.50x = 4,755,481,600
  5. Step 5: Solve for x
    x = 4,755,481,600/46,133.50
  6. Step 6: Final answer
    x = 103,080.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.