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Finding the Third Proportional to 69,244.88 and 103,746.94

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Solution

The third proportional to 69,244.88 and 103,746.94 is: 155,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,244.88 : 103,746.94 = 103,746.94 : x
  2. Step 2: Convert to fraction form
    69,244.88/103,746.94 = 103,746.94/x
  3. Step 3: Cross multiply
    69,244.88x = 103,746.94 × 103,746.94
  4. Step 4: Simplify right side
    69,244.88x = 10,763,427,040.63
  5. Step 5: Solve for x
    x = 10,763,427,040.63/69,244.88
  6. Step 6: Final answer
    x = 155,440.05

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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.