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Finding the Third Proportional to 66,742.31 and 103,371.75

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Solution

The third proportional to 66,742.31 and 103,371.75 is: 160,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,742.31 : 103,371.75 = 103,371.75 : x
  2. Step 2: Convert to fraction form
    66,742.31/103,371.75 = 103,371.75/x
  3. Step 3: Cross multiply
    66,742.31x = 103,371.75 × 103,371.75
  4. Step 4: Simplify right side
    66,742.31x = 10,685,718,698.06
  5. Step 5: Solve for x
    x = 10,685,718,698.06/66,742.31
  6. Step 6: Final answer
    x = 160,104.11

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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.