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Finding the Third Proportional to 69,246 and 103,752

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Solution

The third proportional to 69,246 and 103,752 is: 155,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,246 : 103,752 = 103,752 : x
  2. Step 2: Convert to fraction form
    69,246/103,752 = 103,752/x
  3. Step 3: Cross multiply
    69,246x = 103,752 × 103,752
  4. Step 4: Simplify right side
    69,246x = 10,764,477,504
  5. Step 5: Solve for x
    x = 10,764,477,504/69,246
  6. Step 6: Final answer
    x = 155,452.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.