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Finding the Third Proportional to 69,282 and 103,767.75

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Solution

The third proportional to 69,282 and 103,767.75 is: 155,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,282 : 103,767.75 = 103,767.75 : x
  2. Step 2: Convert to fraction form
    69,282/103,767.75 = 103,767.75/x
  3. Step 3: Cross multiply
    69,282x = 103,767.75 × 103,767.75
  4. Step 4: Simplify right side
    69,282x = 10,767,745,940.06
  5. Step 5: Solve for x
    x = 10,767,745,940.06/69,282
  6. Step 6: Final answer
    x = 155,419.10

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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.