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Finding the Third Proportional to 69,260 and 103,888

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Solution

The third proportional to 69,260 and 103,888 is: 155,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,260 : 103,888 = 103,888 : x
  2. Step 2: Convert to fraction form
    69,260/103,888 = 103,888/x
  3. Step 3: Cross multiply
    69,260x = 103,888 × 103,888
  4. Step 4: Simplify right side
    69,260x = 10,792,716,544
  5. Step 5: Solve for x
    x = 10,792,716,544/69,260
  6. Step 6: Final answer
    x = 155,829.00

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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.