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Finding the Third Proportional to 107,539 and 233,942

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Solution

The third proportional to 107,539 and 233,942 is: 508,921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,539 : 233,942 = 233,942 : x
  2. Step 2: Convert to fraction form
    107,539/233,942 = 233,942/x
  3. Step 3: Cross multiply
    107,539x = 233,942 × 233,942
  4. Step 4: Simplify right side
    107,539x = 54,728,859,364
  5. Step 5: Solve for x
    x = 54,728,859,364/107,539
  6. Step 6: Final answer
    x = 508,921.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.