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Finding the Third Proportional to 69,210 and 106,883

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Solution

The third proportional to 69,210 and 106,883 is: 165,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,210 : 106,883 = 106,883 : x
  2. Step 2: Convert to fraction form
    69,210/106,883 = 106,883/x
  3. Step 3: Cross multiply
    69,210x = 106,883 × 106,883
  4. Step 4: Simplify right side
    69,210x = 11,423,975,689
  5. Step 5: Solve for x
    x = 11,423,975,689/69,210
  6. Step 6: Final answer
    x = 165,062.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.