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Finding the Third Proportional to 69,840 and 107,376

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Solution

The third proportional to 69,840 and 107,376 is: 165,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,840 : 107,376 = 107,376 : x
  2. Step 2: Convert to fraction form
    69,840/107,376 = 107,376/x
  3. Step 3: Cross multiply
    69,840x = 107,376 × 107,376
  4. Step 4: Simplify right side
    69,840x = 11,529,605,376
  5. Step 5: Solve for x
    x = 11,529,605,376/69,840
  6. Step 6: Final answer
    x = 165,085.99

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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.