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Finding the Third Proportional to 68,043.50 and 105,791

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Solution

The third proportional to 68,043.50 and 105,791 is: 164,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,043.50 : 105,791 = 105,791 : x
  2. Step 2: Convert to fraction form
    68,043.50/105,791 = 105,791/x
  3. Step 3: Cross multiply
    68,043.50x = 105,791 × 105,791
  4. Step 4: Simplify right side
    68,043.50x = 11,191,735,681
  5. Step 5: Solve for x
    x = 11,191,735,681/68,043.50
  6. Step 6: Final answer
    x = 164,479.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.