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Finding the Third Proportional to 69,439 and 103,702

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Solution

The third proportional to 69,439 and 103,702 is: 154,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,439 : 103,702 = 103,702 : x
  2. Step 2: Convert to fraction form
    69,439/103,702 = 103,702/x
  3. Step 3: Cross multiply
    69,439x = 103,702 × 103,702
  4. Step 4: Simplify right side
    69,439x = 10,754,104,804
  5. Step 5: Solve for x
    x = 10,754,104,804/69,439
  6. Step 6: Final answer
    x = 154,871.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.