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Finding the Third Proportional to 66,751.50 and 103,074

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Solution

The third proportional to 66,751.50 and 103,074 is: 159,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,751.50 : 103,074 = 103,074 : x
  2. Step 2: Convert to fraction form
    66,751.50/103,074 = 103,074/x
  3. Step 3: Cross multiply
    66,751.50x = 103,074 × 103,074
  4. Step 4: Simplify right side
    66,751.50x = 10,624,249,476
  5. Step 5: Solve for x
    x = 10,624,249,476/66,751.50
  6. Step 6: Final answer
    x = 159,161.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.