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Finding the Third Proportional to 103,633 and 164,642

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Solution

The third proportional to 103,633 and 164,642 is: 261,567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633 : 164,642 = 164,642 : x
  2. Step 2: Convert to fraction form
    103,633/164,642 = 164,642/x
  3. Step 3: Cross multiply
    103,633x = 164,642 × 164,642
  4. Step 4: Simplify right side
    103,633x = 27,106,988,164
  5. Step 5: Solve for x
    x = 27,106,988,164/103,633
  6. Step 6: Final answer
    x = 261,567.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.